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Finding the Third Proportional to 71,712 and 107,082

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Solution

The third proportional to 71,712 and 107,082 is: 159,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712 : 107,082 = 107,082 : x
  2. Step 2: Convert to fraction form
    71,712/107,082 = 107,082/x
  3. Step 3: Cross multiply
    71,712x = 107,082 × 107,082
  4. Step 4: Simplify right side
    71,712x = 11,466,554,724
  5. Step 5: Solve for x
    x = 11,466,554,724/71,712
  6. Step 6: Final answer
    x = 159,897.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.