Finding the Third Proportional to 71 and 108
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Solution
The third proportional to 71 and 108 is: 164.28
Step by Step Solution
- Step 1: Write the proportion equation
71 : 108 = 108 : x - Step 2: Convert to fraction form
71/108 = 108/x - Step 3: Cross multiply
71x = 108 × 108 - Step 4: Simplify right side
71x = 11,664 - Step 5: Solve for x
x = 11,664/71 - Step 6: Final answer
x = 164.28
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.