"directly proportional to" vs "directly proportional on"

Question

"directly proportional to" vs "directly proportional on"

The phrase 'directly proportional to' is correct, while 'directly proportional on' is incorrect. In English, we use 'directly proportional to' to indicate a relationship where one quantity increases as another quantity increases in a linear manner.

Last Updated: March 15, 2024

Use 'directly proportional to' to indicate that one quantity increases as another quantity increases in a linear manner.

Examples:

The speed of a car is directly proportional to the pressure on the accelerator pedal.
The force of gravity is directly proportional to the mass of an object.
The volume of a gas is directly proportional to its temperature.
The number of hours worked is directly proportional to the amount earned.
The brightness of a light source is directly proportional to the power input.

The correct phrase is 'directly proportional to', which is used to describe a relationship where one quantity increases as another quantity increases in a linear manner.

Alternatives:

directly proportional to

Answer 1

directly proportional to

This phrase is correct and commonly used in English to describe a linear relationship between two quantities.

Answer 2

directly proportional on

This phrase is incorrect in English. The correct preposition to use with 'directly proportional' is 'to'.

"directly proportional to" vs "directly proportional on"

directly proportional to

directly proportional on

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