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Finding the Third Proportional to 87,909 and 192,705

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Solution

The third proportional to 87,909 and 192,705 is: 422,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,909 : 192,705 = 192,705 : x
  2. Step 2: Convert to fraction form
    87,909/192,705 = 192,705/x
  3. Step 3: Cross multiply
    87,909x = 192,705 × 192,705
  4. Step 4: Simplify right side
    87,909x = 37,135,217,025
  5. Step 5: Solve for x
    x = 37,135,217,025/87,909
  6. Step 6: Final answer
    x = 422,427.93

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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.