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Finding the Third Proportional to 90,262.50 and 135,199.50

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Solution

The third proportional to 90,262.50 and 135,199.50 is: 202,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,262.50 : 135,199.50 = 135,199.50 : x
  2. Step 2: Convert to fraction form
    90,262.50/135,199.50 = 135,199.50/x
  3. Step 3: Cross multiply
    90,262.50x = 135,199.50 × 135,199.50
  4. Step 4: Simplify right side
    90,262.50x = 18,278,904,800.25
  5. Step 5: Solve for x
    x = 18,278,904,800.25/90,262.50
  6. Step 6: Final answer
    x = 202,508.29

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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.