Direct proportionality

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Two quantities a and b are said to be directly proportional, if the quotient \frac{a}{b} is constant. This is written as a \propto b.


Constant of Proportionality

The constant c = \frac{a}{b} is called constant of proportionality. Therefore a proportionality can be written as:

a = c \times b

Famous Proportionality

C \propto r
Here, the constant is
E \propto m
Here, the constant is , the square of the speed of light.


The role of the quantities and of the constant are not interchangeable. It would be wrong to say in the examples above that C \propto 2 \pi or E \propto c^2.


Weisstein, Eric W. "Proportional." From MathWorld--A Wolfram Web Resource.

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