grows proportionally to

USAGE SUMMARY

The phrase "grows proportionally to" is correct and usable in written English.
It can be used when describing a relationship where one quantity increases in direct relation to another quantity. Example: "The revenue of the company grows proportionally to the increase in sales volume."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

16 human-written examples

In Figure 4, we observe that the broadcast latency of both algorithms grows proportionally to the square of length l.

EURASIP Journal on Wireless Communications and Networking

The challenge is to counter the computational complexity, which grows proportionally to n3, where n is the number of video streams.

Procedia Computer Science

Bidirectional ring networks are considered to be physically fast due to their simple structure, but topologically slow since their communication latency grows proportionally to the number of nodes.

Computers & Electrical Engineering

Since the number of sigma-points grows proportionally to the number of degrees of freedom of the space-discretized structural system, the S-PKF can become computationally demanding.

Computers & Structures

In fact, we can observe that the average degree of communities grows proportionally to their size up to a cut-off value still approximately x ≈ 300.

EPJ Data Science

It is possible to observe that the average degree grows proportionally to the size of the communities up to a certain threshold, approximately x ≈ 300 above which the average degree of the communities quickly falls off.

EPJ Data Science

Human-verified similar examples from authoritative sources

Similar Expressions

44 human-written examples

Twitter spam – once one of her main focuses – hasn't been beaten, but it hasn't grown proportionally to the number of users or tweets.

The Guardian - Tech

* The logic board grew proportionally to its casing.

TechCrunch

The specific catalytic activity grew proportionally to the carbon content on the catalyst.

Catalysis Today

6 Similar to pharmaceutical treatments, hospital stay unit costs were considered to grow proportionally to an average consumer price index for pharmaceuticals and health care.

Cancer Management and Research

The KD liver was found to occupy the same percentage volume of the embryo at both time-points (p > 0.05), indicating the KD liver volume grew proportionally to the embryo volume both during as well as post organogenesis.

BMC Pregnancy and Childbirth

Expert writing Tips

Best practice

When using "grows proportionally to", ensure that the relationship you're describing is indeed a direct proportion, where the ratio between the two quantities remains constant. For instance, if sales double, revenue should also double for the relationship to be proportional.

Common error

Avoid assuming proportionality when there's only a correlation. Two things might increase together, but unless they increase at a constant rate relative to each other, using "grows proportionally to" would be inaccurate. For example, ice cream sales and crime rates may rise in summer, but one doesn't necessarily "grow proportionally to" the other.

Linguistic Context

The phrase "grows proportionally to" functions as a relational phrase, indicating a direct mathematical relationship between two quantities. Ludwig examples show its use in describing how one quantity increases in direct relation to another, such as broadcast latency and the square of length or the size of a database and the number of instances.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

15%

Formal & Business

5%

Less common in

Ludwig's WRAP-UP

In summary, the phrase "grows proportionally to" is a grammatically sound and usable expression, as confirmed by Ludwig AI, indicating a direct proportional relationship between two quantities. It is most frequently found in scientific and formal contexts, where precise relationships are crucial. While there are alternative phrases available, such as "increases in direct proportion to" or "scales linearly with", it's important to ensure that the relationship described is indeed a direct proportion, not just a correlation. By understanding its function, purpose, and common errors, writers can effectively and accurately use "grows proportionally to" in their writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

increases in direct proportion to

Replaces "grows" with "increases" and uses the phrase "in direct proportion to" for emphasis on the direct relationship.

scales linearly with

Uses the mathematical term "scales linearly" to indicate a direct and constant rate of change.

is directly proportional to

Employs the formal mathematical term "directly proportional" to describe the relationship.

varies directly with

Substitutes "grows" with "varies" and retains the "directly with" structure.

correlates positively with

Indicates a positive correlation, suggesting that as one variable increases, so does the other, but doesn't necessarily imply a strict proportionality.

rises in tandem with

Indicates that two things increase together, but not necessarily at a constant ratio.

expands at the same rate as

Focuses on the rate of expansion being identical between two variables.

develops in relation to

Suggests a development or evolution that is linked, though not strictly mathematically proportional.

is tied to the growth of

Emphasizes the connection between the growth of one thing and the growth of another.

mirrors the increase of

Implies that one variable's growth closely follows the increase of another, acting as a reflection.

FAQs

How can I use "grows proportionally to" in a sentence?

Use "grows proportionally to" to describe a direct relationship where an increase in one quantity results in a consistent increase in another. For example, "The workload of the team "grows proportionally to" the number of clients acquired".

What are some alternatives to "grows proportionally to"?

You can use alternatives like "increases in direct proportion to", "is directly proportional to", or "scales linearly with" depending on the context.

Is it correct to say "grows proportionally with" instead of "grows proportionally to"?

While "grows proportionally with" might be understood, "grows proportionally to" is generally considered more grammatically precise and commonly used in formal writing.

What does it mean when something "grows proportionally to" something else?

It means that as one quantity increases, the other increases by a constant factor. If one doubles, the other doubles as well, maintaining a consistent ratio.