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Finding the Third Proportional to 17,921 and 38,909

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Solution

The third proportional to 17,921 and 38,909 is: 84,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921 : 38,909 = 38,909 : x
  2. Step 2: Convert to fraction form
    17,921/38,909 = 38,909/x
  3. Step 3: Cross multiply
    17,921x = 38,909 × 38,909
  4. Step 4: Simplify right side
    17,921x = 1,513,910,281
  5. Step 5: Solve for x
    x = 1,513,910,281/17,921
  6. Step 6: Final answer
    x = 84,476.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.