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Finding the Third Proportional to 90,739.50 and 136,199.25

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Solution

The third proportional to 90,739.50 and 136,199.25 is: 204,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,739.50 : 136,199.25 = 136,199.25 : x
  2. Step 2: Convert to fraction form
    90,739.50/136,199.25 = 136,199.25/x
  3. Step 3: Cross multiply
    90,739.50x = 136,199.25 × 136,199.25
  4. Step 4: Simplify right side
    90,739.50x = 18,550,235,700.56
  5. Step 5: Solve for x
    x = 18,550,235,700.56/90,739.50
  6. Step 6: Final answer
    x = 204,433.96

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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.