3 geometric means of 32 and 1/8

Duplicate post; already answered.

Your question is incorrectly stated. There is only one geometric mean between two numbers.

In my other answer to this question, I tried to figure out what you really want to know: three intermediate numbers of a geometric series.

12412

To find the geometric mean between two numbers, you need to take the square root of their product. In this case, we want to find the geometric mean between 32 and 1/8.

To begin, multiply 32 by 1/8:

32 * 1/8 = 4

Next, take the square root of 4:

√4 = 2

So, the first geometric mean between 32 and 1/8 is 2.

Now, we need to find the geometric mean between 2 and 1/8.

Multiply 2 by 1/8:

2 * 1/8 = 1/4

Take the square root of 1/4:

√(1/4) = 1/2

Therefore, the second geometric mean between 32 and 1/8 is 1/2.

Lastly, we need to find the geometric mean between 1/2 and 1/8.

Multiply 1/2 by 1/8:

1/2 * 1/8 = 1/16

Take the square root of 1/16:

√(1/16) = 1/4

Hence, the third geometric mean between 32 and 1/8 is 1/4.

In summary, the three geometric means of 32 and 1/8 are 2, 1/2, and 1/4.