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Finding the Third Proportional to 87,771 and 192,210

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Solution

The third proportional to 87,771 and 192,210 is: 420,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,771 : 192,210 = 192,210 : x
  2. Step 2: Convert to fraction form
    87,771/192,210 = 192,210/x
  3. Step 3: Cross multiply
    87,771x = 192,210 × 192,210
  4. Step 4: Simplify right side
    87,771x = 36,944,684,100
  5. Step 5: Solve for x
    x = 36,944,684,100/87,771
  6. Step 6: Final answer
    x = 420,921.31

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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.