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Finding the Third Proportional to 42,229.75 and 91,761

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Solution

The third proportional to 42,229.75 and 91,761 is: 199,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,229.75 : 91,761 = 91,761 : x
  2. Step 2: Convert to fraction form
    42,229.75/91,761 = 91,761/x
  3. Step 3: Cross multiply
    42,229.75x = 91,761 × 91,761
  4. Step 4: Simplify right side
    42,229.75x = 8,420,081,121
  5. Step 5: Solve for x
    x = 8,420,081,121/42,229.75
  6. Step 6: Final answer
    x = 199,387.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.