Direct proportionality
From Conservapedia
Two quantities a and b are said to be directly proportional, if the quotient is constant. This is written as .
Constant of Proportionality
The constant is called constant of proportionality. Therefore, a proportionality can be written as:
Famous Proportionality
- The circumference C of a circle is proportional to its radius r:
- Here, the constant is
- Mass–energy equivalence: The energy E of a body is proportional to its mass m:
- Here, the constant is c², the square of the speed of light.
Misunderstandings
The role of the quantities and of the constant are not interchangeable. It would be wrong to say in the examples above that or .
Sources
Weisstein, Eric W. "Proportional." From MathWorld--A Wolfram Web Resource.