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Finding the Third Proportional to 17,691 and 38,663

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Solution

The third proportional to 17,691 and 38,663 is: 84,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691 : 38,663 = 38,663 : x
  2. Step 2: Convert to fraction form
    17,691/38,663 = 38,663/x
  3. Step 3: Cross multiply
    17,691x = 38,663 × 38,663
  4. Step 4: Simplify right side
    17,691x = 1,494,827,569
  5. Step 5: Solve for x
    x = 1,494,827,569/17,691
  6. Step 6: Final answer
    x = 84,496.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.