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Finding the Third Proportional to 87,972 and 189,624

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Solution

The third proportional to 87,972 and 189,624 is: 408,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,972 : 189,624 = 189,624 : x
  2. Step 2: Convert to fraction form
    87,972/189,624 = 189,624/x
  3. Step 3: Cross multiply
    87,972x = 189,624 × 189,624
  4. Step 4: Simplify right side
    87,972x = 35,957,261,376
  5. Step 5: Solve for x
    x = 35,957,261,376/87,972
  6. Step 6: Final answer
    x = 408,735.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.