Geometric mean

Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.

Result

m =  19.726

Solution:

a=15.2 b=25.6 m=a⋅ b=15.2⋅ 25.6≐19.7261≐19.726a=15.2 \ \\ b=25.6 \ \\ m=\sqrt{ a \cdot \ b }=\sqrt{ 15.2 \cdot \ 25.6 } \doteq 19.7261 \doteq 19.726

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