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Finding the Third Proportional to 87,717 and 192,930

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Solution

The third proportional to 87,717 and 192,930 is: 424,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,717 : 192,930 = 192,930 : x
  2. Step 2: Convert to fraction form
    87,717/192,930 = 192,930/x
  3. Step 3: Cross multiply
    87,717x = 192,930 × 192,930
  4. Step 4: Simplify right side
    87,717x = 37,221,984,900
  5. Step 5: Solve for x
    x = 37,221,984,900/87,717
  6. Step 6: Final answer
    x = 424,341.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.