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Finding the Third Proportional to 129,458.25 and 267,900.75

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Solution

The third proportional to 129,458.25 and 267,900.75 is: 554,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,458.25 : 267,900.75 = 267,900.75 : x
  2. Step 2: Convert to fraction form
    129,458.25/267,900.75 = 267,900.75/x
  3. Step 3: Cross multiply
    129,458.25x = 267,900.75 × 267,900.75
  4. Step 4: Simplify right side
    129,458.25x = 71,770,811,850.56
  5. Step 5: Solve for x
    x = 71,770,811,850.56/129,458.25
  6. Step 6: Final answer
    x = 554,393.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.