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Finding the Third Proportional to 31,471 and 47,663

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Solution

The third proportional to 31,471 and 47,663 is: 72,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471 : 47,663 = 47,663 : x
  2. Step 2: Convert to fraction form
    31,471/47,663 = 47,663/x
  3. Step 3: Cross multiply
    31,471x = 47,663 × 47,663
  4. Step 4: Simplify right side
    31,471x = 2,271,761,569
  5. Step 5: Solve for x
    x = 2,271,761,569/31,471
  6. Step 6: Final answer
    x = 72,185.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.