Operations

Mean Proportional

In a proportion with three terms, the mean term is the mean proportional between the two other terms.
The expression "mean proportional" is a synonym of "geometric mean".

Example

Consider this proportion:

[latex]\dfrac{2}{x}[/latex] = [latex]\dfrac{x}{8}[/latex]

The term [latex]x[/latex] is a mean proportional. We can calculate it with the geometric mean :

[latex]\overline{x}_g[/latex] = [latex]\sqrt[2]{2 × 8}[/latex] = [latex]\sqrt[2]{16} = 4[/latex]

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