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Finding the Third Proportional to 87,960 and 192,315

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Solution

The third proportional to 87,960 and 192,315 is: 420,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,960 : 192,315 = 192,315 : x
  2. Step 2: Convert to fraction form
    87,960/192,315 = 192,315/x
  3. Step 3: Cross multiply
    87,960x = 192,315 × 192,315
  4. Step 4: Simplify right side
    87,960x = 36,985,059,225
  5. Step 5: Solve for x
    x = 36,985,059,225/87,960
  6. Step 6: Final answer
    x = 420,475.89

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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.