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Finding the Third Proportional to 31,371 and 67,542

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Solution

The third proportional to 31,371 and 67,542 is: 145,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,371 : 67,542 = 67,542 : x
  2. Step 2: Convert to fraction form
    31,371/67,542 = 67,542/x
  3. Step 3: Cross multiply
    31,371x = 67,542 × 67,542
  4. Step 4: Simplify right side
    31,371x = 4,561,921,764
  5. Step 5: Solve for x
    x = 4,561,921,764/31,371
  6. Step 6: Final answer
    x = 145,418.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.