Geometric Mean of two values is the square root of their product, in this case sqrt(3 x 21) ie sqrt 63, which is a whisker under 8, actually 7.94 to nearest hundredth, giving a common ratio of 2.646.
3 x 2.646 = 7.938, 7.938 x 2.646 = 21.004
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√9x1=3
square root of 18
√3 x √300 = 1.73205080756888 x 17.3205080756888 = 30
√3 x √15 = 1.73205080756888 x 3.87298334620742 = 6.70820393249937
No, the geometric mean is not the same as the mean of two numbers.