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Finding the Third Proportional to 31,561 and 47,423

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Solution

The third proportional to 31,561 and 47,423 is: 71,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561 : 47,423 = 47,423 : x
  2. Step 2: Convert to fraction form
    31,561/47,423 = 47,423/x
  3. Step 3: Cross multiply
    31,561x = 47,423 × 47,423
  4. Step 4: Simplify right side
    31,561x = 2,248,940,929
  5. Step 5: Solve for x
    x = 2,248,940,929/31,561
  6. Step 6: Final answer
    x = 71,256.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.