SOLUTION: Insert three geometric means between 1/9 and 27

Question 1106813: Insert three geometric means between 1/9 and 27
Answer by greenestamps(13195) (Show Source): You can put this solution on YOUR website!

The two given numbers are and .

Are you sure you have shown the problem correctly? Inserting FOUR geometric means would be easy; inserting three is ugly.

To insert four geometric means, we would need to have

The sequence including the four geometric means would then be
1/9, 1/3, 1, 3, 9, 27.

To insert three geometric means, we need to have

The sequence including only three geometric means would then be
3^(-2), 3^(-3/4), 3^(1/2), 3^(7/4), 3^3.
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