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Finding the Third Proportional to 31,721 and 47,397

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Solution

The third proportional to 31,721 and 47,397 is: 70,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721 : 47,397 = 47,397 : x
  2. Step 2: Convert to fraction form
    31,721/47,397 = 47,397/x
  3. Step 3: Cross multiply
    31,721x = 47,397 × 47,397
  4. Step 4: Simplify right side
    31,721x = 2,246,475,609
  5. Step 5: Solve for x
    x = 2,246,475,609/31,721
  6. Step 6: Final answer
    x = 70,819.82

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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.