Question

How do you turn a proportionality between variables into an equation?

Answer 1

Answer. By adding the proportionality constant .

Step-by-step explanation:

suppose 'x' a is directly proportional to the 'y' , where x and y are variables:

x ∝ y

with an input of constant value 'K' proportionality relation gets converted into an equation:

x = K y

For example : Gravitational force is directly proportional to the product of two masses and inversely proportional to the square of the distance between the two masses.

F ∝
`\frac {m_1m_2}{r^(2)}`

To convert this proportionality relation constant 'G' was introduced known as gravitational constant whose value remains constant under every conditions.

`F=\frac {G* m_1m_2}{r^(2)}`

`G=6.67408* 10^(-11)m^3Kg^(-1)s^(-2)`