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Finding the Third Proportional to 87,912 and 192,591

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Solution

The third proportional to 87,912 and 192,591 is: 421,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,912 : 192,591 = 192,591 : x
  2. Step 2: Convert to fraction form
    87,912/192,591 = 192,591/x
  3. Step 3: Cross multiply
    87,912x = 192,591 × 192,591
  4. Step 4: Simplify right side
    87,912x = 37,091,293,281
  5. Step 5: Solve for x
    x = 37,091,293,281/87,912
  6. Step 6: Final answer
    x = 421,913.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.