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Finding the Third Proportional to 87,769 and 192,206

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Solution

The third proportional to 87,769 and 192,206 is: 420,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,769 : 192,206 = 192,206 : x
  2. Step 2: Convert to fraction form
    87,769/192,206 = 192,206/x
  3. Step 3: Cross multiply
    87,769x = 192,206 × 192,206
  4. Step 4: Simplify right side
    87,769x = 36,943,146,436
  5. Step 5: Solve for x
    x = 36,943,146,436/87,769
  6. Step 6: Final answer
    x = 420,913.38

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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.