A proportion such as 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
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 equationNote; 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
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