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Finding the Third Proportional to 15,952 and 21,654

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Solution

The third proportional to 15,952 and 21,654 is: 29,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952 : 21,654 = 21,654 : x
  2. Step 2: Convert to fraction form
    15,952/21,654 = 21,654/x
  3. Step 3: Cross multiply
    15,952x = 21,654 × 21,654
  4. Step 4: Simplify right side
    15,952x = 468,895,716
  5. Step 5: Solve for x
    x = 468,895,716/15,952
  6. Step 6: Final answer
    x = 29,394.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.