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Finding the Third Proportional to 87,724 and 192,940

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Solution

The third proportional to 87,724 and 192,940 is: 424,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,724 : 192,940 = 192,940 : x
  2. Step 2: Convert to fraction form
    87,724/192,940 = 192,940/x
  3. Step 3: Cross multiply
    87,724x = 192,940 × 192,940
  4. Step 4: Simplify right side
    87,724x = 37,225,843,600
  5. Step 5: Solve for x
    x = 37,225,843,600/87,724
  6. Step 6: Final answer
    x = 424,351.87

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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.