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Finding the Third Proportional to 87,979 and 191,839

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Solution

The third proportional to 87,979 and 191,839 is: 418,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,979 : 191,839 = 191,839 : x
  2. Step 2: Convert to fraction form
    87,979/191,839 = 191,839/x
  3. Step 3: Cross multiply
    87,979x = 191,839 × 191,839
  4. Step 4: Simplify right side
    87,979x = 36,802,201,921
  5. Step 5: Solve for x
    x = 36,802,201,921/87,979
  6. Step 6: Final answer
    x = 418,306.66

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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.