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Finding the Third Proportional to 87,742 and 192,972

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Solution

The third proportional to 87,742 and 192,972 is: 424,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,742 : 192,972 = 192,972 : x
  2. Step 2: Convert to fraction form
    87,742/192,972 = 192,972/x
  3. Step 3: Cross multiply
    87,742x = 192,972 × 192,972
  4. Step 4: Simplify right side
    87,742x = 37,238,192,784
  5. Step 5: Solve for x
    x = 37,238,192,784/87,742
  6. Step 6: Final answer
    x = 424,405.56

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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.