A proportion such as

Solving for the mean proportional

Given

in proportion, the product of the extremes is equal to the product of the means.

extracting the square roots of booth members of the equation

Note; like roots and like powers of equal numbers are equal

It follows that:

The mean proportional between two quantities is equal to the square root of their product.

example 1 :

Solve for x in

example 2 :

Solve for x in

*1:2 =2:4 or a:b = b:c*is called a mean proportion because the second and the third terms are equal. In the latter b is the mean proportional between the first and the last terms a and c, respectively and c is the third proportional to a and b.Solving for the mean proportional

Given

in proportion, the product of the extremes is equal to the product of the means.

extracting the square roots of booth members of the equation

Note; like roots and like powers of equal numbers are equal

It follows that:

The mean proportional between two quantities is equal to the square root of their product.

example 1 :

Solve for x in

example 2 :

Solve for x in