find the geometric mean of the following two numbers 25 and 64
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Geometric mean will be equal to the square root of the product of two given numbers. SO mean is = √25*64 = 40.
Detailed method:
Let the number - mean be X and ratio be r
given series is = 25, X, 64
Hence X = 25 r and 64 = 25 r² => r² = 64/25 => r = 8/5
So X = 25 r = >> X = 25*8/5 = 40
Detailed method:
Let the number - mean be X and ratio be r
given series is = 25, X, 64
Hence X = 25 r and 64 = 25 r² => r² = 64/25 => r = 8/5
So X = 25 r = >> X = 25*8/5 = 40
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