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Finding the Third Proportional to 71,387 and 93,897

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Solution

The third proportional to 71,387 and 93,897 is: 123,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,387 : 93,897 = 93,897 : x
  2. Step 2: Convert to fraction form
    71,387/93,897 = 93,897/x
  3. Step 3: Cross multiply
    71,387x = 93,897 × 93,897
  4. Step 4: Simplify right side
    71,387x = 8,816,646,609
  5. Step 5: Solve for x
    x = 8,816,646,609/71,387
  6. Step 6: Final answer
    x = 123,504.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.