Constant of Proportionality Calculator

Formula

To calculate the Constant of Proportionality (C):

\[ C = \frac{Y}{X} \]

Where:

\( C \) is the constant of proportionality
\( Y \) is a variable directly dependent on \( X \)
\( X \) is a variable directly dependent on \( Y \)

What is the Constant of Proportionality?

The constant of proportionality is a fundamental mathematical concept that measures the relationship between two variables. It represents the fixed ratio by which the values of one variable change in relation to the values of another variable. It is denoted by the letter \( k \) and is derived from the equation \( y = kx \), where \( y \) and \( x \) are variables that are directly proportional to each other.

Example Calculation

Let's assume the following values:

Variable \( Y \) = 50
Variable \( X \) = 10

Step 1: Use the constant of proportionality calculation formula:

\[ C = \frac{50}{10} = 5 \]

The Constant of Proportionality is 5.