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Finding the Third Proportional to 36,331 and 77,839

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Solution

The third proportional to 36,331 and 77,839 is: 166,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,331 : 77,839 = 77,839 : x
  2. Step 2: Convert to fraction form
    36,331/77,839 = 77,839/x
  3. Step 3: Cross multiply
    36,331x = 77,839 × 77,839
  4. Step 4: Simplify right side
    36,331x = 6,058,909,921
  5. Step 5: Solve for x
    x = 6,058,909,921/36,331
  6. Step 6: Final answer
    x = 166,769.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.