proportionally with

USAGE SUMMARY

'proportionally with' is a correct and usable phrase in written English.
It is used to indicate a relationship between two things that vary in the same ratio. For example, "The cost of the new car increased proportionally with the size of the engine."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The GBM incidence rate increased proportionally with the 4th power of age, whereas the non-GBM rate increased proportionally with the square root of age.

BMC Cancer

Overall strain increases with temperature scaled proportionally with metal content.

Acta Materialia

Also, the contact force changes proportionally with the impactor velocity.

Composites Part B: Engineering

The rate increases proportionally with the step atom density.

Electrochimica Acta

Sorption mass-transfer coefficients varied proportionally with pore-water velocity.

Journal of Contaminant Hydrology

BM vibrations grow less than proportionally with sound pressure near CF2,3,4,5.

Nature

The permeation rate of DDEA increased proportionally with ethanol concentration but decreased with polymer concentration, whereas the permeation rate of CRM increased proportionally with polymer concentration.

Journal of Pharmaceutical Sciences

Solids concentrations (0.2 1.5 g/L) were found to increase proportionally with CaS5 dosage.

Water Research

The permeation rate of piroxicam increased proportionally with ethanol concentration but decreased with polymer concentration.

International Journal of Biological Macromolecules

On Tuesday, Mr. Browne said that the stops "comport by race proportionally with descriptions provided by crime victims".

The New York Times

In first-order kinetics, the reaction rate varies proportionally with reactant concentration.

Food Process Engineering and Technology

Expert writing Tips

Best practice

Use "proportionally with" to clearly indicate a direct relationship between two variables, ensuring the connection is evident and readily understood.

Common error

Avoid using "proportionally with" when the relationship between variables is indirect or non-linear. Overuse can weaken your writing by implying a straightforward link where a more nuanced description is needed.

Linguistic Context

The phrase "proportionally with" functions as a prepositional phrase that establishes a direct relationship between two quantities. It indicates that as one quantity increases or decreases, the other changes in a consistent, related manner. Ludwig's examples confirm this usage across various contexts.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

13%

Formal & Business

12%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "proportionally with" serves to indicate a relationship where two quantities vary in a consistent ratio. As Ludwig AI confirms, it is grammatically correct and sees frequent use in a variety of writing contexts, especially in scientific and technical domains. Although acceptable, in certain cases "in direct proportion to" could be more precise. While adaptable to general use, it is best suited for scenarios requiring clarity in describing the relationship between two variables. Overuse in contexts without a clear, direct correlation should be avoided to maintain precision. As examples within Ludwig suggest, this phrase is frequently used to describe physical, chemical, and even economic relationships.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in direct proportion to

Emphasizes a mathematical relationship where one quantity is a constant multiple of the other.

directly related to

Focuses on a causal connection where a change in one element results in a similar change in the other.

correspondingly with

Highlights a parallel or analogous relationship between elements.

in correlation with

Indicates a statistical relationship where the elements tend to change together.

scaling with

Suggests a relationship where one element's magnitude increases or decreases in relation to another.

commensurate with

Implies that two things are in a suitable or balanced proportion.

in alignment with

Highlights the elements increase or decrease together.

increasingly with

Indicates a gradual rise in one element as another also rises.

dependent on

Emphasizes the reliance of one element on another for its value or state.

relative to

Posits that one element's behavior is understood or quantified by its relation to another.

FAQs

How can I use "proportionally with" in a sentence?

Use "proportionally with" to show that two quantities change at the same rate. For example, "The cost of the project increased "proportionally with" the amount of materials needed".

What phrases are similar to "proportionally with"?

Alternatives include "in direct proportion to", "directly related to", or "correspondingly with". The best choice depends on the specific nuance you want to convey.

Is it correct to say "directly proportional with"?

While "proportionally with" is acceptable, "directly proportional to" is more common and precise. Using "to" emphasizes the mathematical relationship between the quantities.

What's the difference between "proportionally with" and "in proportion to"?

"In proportion to" is generally preferred when describing a ratio or fraction, while ""proportionally with"" highlights the way two variables change together.