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Finding the Third Proportional to 87,678 and 192,042

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Solution

The third proportional to 87,678 and 192,042 is: 420,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,678 : 192,042 = 192,042 : x
  2. Step 2: Convert to fraction form
    87,678/192,042 = 192,042/x
  3. Step 3: Cross multiply
    87,678x = 192,042 × 192,042
  4. Step 4: Simplify right side
    87,678x = 36,880,129,764
  5. Step 5: Solve for x
    x = 36,880,129,764/87,678
  6. Step 6: Final answer
    x = 420,631.51

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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.