What is the ratio of the mean proportional of 1.21 and 0.09 with the mean proportional of 0.16 and 0.36?

Question

Accepted Answer

Step 1: The mean proportional between two numbers a and b is sqrt(a × b).

Step 2: Find the mean proportional of 1.21 and 0.09:
Mean proportional = sqrt(1.21 × 0.09) = sqrt(0.1089) = 0.33

Step 3: Find the mean proportional of 0.16 and 0.36:
Mean proportional = sqrt(0.16 × 0.36) = sqrt(0.0576) = 0.24

Step 4: Find the ratio of the two mean proportionals:
Ratio = 0.33 : 0.24

Step 5: Convert to whole numbers:
0.33 / 0.03 = 11
0.24 / 0.03 = 8
So, the ratio is 11 : 8.

Final Answer: 11 : 8

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