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 Description  
 Geometric Mean:  If a/x = x/b (or x2 = ab), then x is called the geometric mean between a and b. The geometric mean is sometimes called the mean proportional.
An Illustration of the Geometric Mean

Suppose the two smaller triangles in this figure are similar. That means that the corresponding sides are proportional. So, we can write:



The number 6 is the geometric mean between 4 and 9.