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Finding the Third Proportional to 87,632 and 191,478

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Solution

The third proportional to 87,632 and 191,478 is: 418,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,632 : 191,478 = 191,478 : x
  2. Step 2: Convert to fraction form
    87,632/191,478 = 191,478/x
  3. Step 3: Cross multiply
    87,632x = 191,478 × 191,478
  4. Step 4: Simplify right side
    87,632x = 36,663,824,484
  5. Step 5: Solve for x
    x = 36,663,824,484/87,632
  6. Step 6: Final answer
    x = 418,383.97

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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.