No solution. A negative number is not allowed.
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Geometric mean of 2 and 8 = sqrt(2*8) = sqrt(16) = 4
Look 2 and 8, their geometric mean is square root of 16 which is 4 and between 2 and 54. 9 and 4 have a geometric mean of 6 which is also between 2 and 54. Is this what you mean? Pun intended... The geometric mean of 2 and 54 is square root of 108.
Geometric mean of 242 and 8 is 44.Look at the link below:
It is sqrt(8) = 2.8284, approx.
Geometric mean of 2 and 12 is 4.898979485566356. Look at link: "Calculation of the geometric mean of two numbers".