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Finding the Third Proportional to 20,472 and 29,484

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Solution

The third proportional to 20,472 and 29,484 is: 42,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472 : 29,484 = 29,484 : x
  2. Step 2: Convert to fraction form
    20,472/29,484 = 29,484/x
  3. Step 3: Cross multiply
    20,472x = 29,484 × 29,484
  4. Step 4: Simplify right side
    20,472x = 869,306,256
  5. Step 5: Solve for x
    x = 869,306,256/20,472
  6. Step 6: Final answer
    x = 42,463.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.