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Finding the Third Proportional to 87,432 and 191,676

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Solution

The third proportional to 87,432 and 191,676 is: 420,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,432 : 191,676 = 191,676 : x
  2. Step 2: Convert to fraction form
    87,432/191,676 = 191,676/x
  3. Step 3: Cross multiply
    87,432x = 191,676 × 191,676
  4. Step 4: Simplify right side
    87,432x = 36,739,688,976
  5. Step 5: Solve for x
    x = 36,739,688,976/87,432
  6. Step 6: Final answer
    x = 420,208.72

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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.