SOLUTION: find three geometric means between 8 and 40.5

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Question 701339: find three geometric means between 8 and 40.5
Answer by MathLover1(20850) About Me  (Show Source):
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three geometric means between 8 and 40.5:
40.5+=+8r%5E4
40.5%2F8+=+r%5E4
5.0625+=+r%5E4
r=root%284%2C5.0625%29
r=1.5+


r=1.5 is the ratio, so you multiply 8 by 1.5 (which equals 12), giving you the first of the three geometric means, multiply 12 by 1.5 (which equals 18) to get the second of the three geometric means, and multiply 18 by 1.5 (which equals 27) to get the third of the three geometric means
Final answer: 12,18, 27

Multiplying 27 by 1.5 gives you 40.5, so it is correct.