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Finding the Third Proportional to 17,861 and 38,897

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Solution

The third proportional to 17,861 and 38,897 is: 84,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 38,897 = 38,897 : x
  2. Step 2: Convert to fraction form
    17,861/38,897 = 38,897/x
  3. Step 3: Cross multiply
    17,861x = 38,897 × 38,897
  4. Step 4: Simplify right side
    17,861x = 1,512,976,609
  5. Step 5: Solve for x
    x = 1,512,976,609/17,861
  6. Step 6: Final answer
    x = 84,708.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.