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Finding the Third Proportional to 87,603 and 192,162

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Solution

The third proportional to 87,603 and 192,162 is: 421,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,603 : 192,162 = 192,162 : x
  2. Step 2: Convert to fraction form
    87,603/192,162 = 192,162/x
  3. Step 3: Cross multiply
    87,603x = 192,162 × 192,162
  4. Step 4: Simplify right side
    87,603x = 36,926,234,244
  5. Step 5: Solve for x
    x = 36,926,234,244/87,603
  6. Step 6: Final answer
    x = 421,517.92

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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.