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Finding the Third Proportional to 15,732 and 21,654

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Solution

The third proportional to 15,732 and 21,654 is: 29,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 21,654 = 21,654 : x
  2. Step 2: Convert to fraction form
    15,732/21,654 = 21,654/x
  3. Step 3: Cross multiply
    15,732x = 21,654 × 21,654
  4. Step 4: Simplify right side
    15,732x = 468,895,716
  5. Step 5: Solve for x
    x = 468,895,716/15,732
  6. Step 6: Final answer
    x = 29,805.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.