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Finding the Third Proportional to 87,541.50 and 192,227.25

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Solution

The third proportional to 87,541.50 and 192,227.25 is: 422,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,541.50 : 192,227.25 = 192,227.25 : x
  2. Step 2: Convert to fraction form
    87,541.50/192,227.25 = 192,227.25/x
  3. Step 3: Cross multiply
    87,541.50x = 192,227.25 × 192,227.25
  4. Step 4: Simplify right side
    87,541.50x = 36,951,315,642.56
  5. Step 5: Solve for x
    x = 36,951,315,642.56/87,541.50
  6. Step 6: Final answer
    x = 422,100.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.