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Finding the Third Proportional to 15,663 and 21,478

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Solution

The third proportional to 15,663 and 21,478 is: 29,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663 : 21,478 = 21,478 : x
  2. Step 2: Convert to fraction form
    15,663/21,478 = 21,478/x
  3. Step 3: Cross multiply
    15,663x = 21,478 × 21,478
  4. Step 4: Simplify right side
    15,663x = 461,304,484
  5. Step 5: Solve for x
    x = 461,304,484/15,663
  6. Step 6: Final answer
    x = 29,451.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.