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Finding the Third Proportional to 90,517.50 and 135,600.75

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Solution

The third proportional to 90,517.50 and 135,600.75 is: 203,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,517.50 : 135,600.75 = 135,600.75 : x
  2. Step 2: Convert to fraction form
    90,517.50/135,600.75 = 135,600.75/x
  3. Step 3: Cross multiply
    90,517.50x = 135,600.75 × 135,600.75
  4. Step 4: Simplify right side
    90,517.50x = 18,387,563,400.56
  5. Step 5: Solve for x
    x = 18,387,563,400.56/90,517.50
  6. Step 6: Final answer
    x = 203,138.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.