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Finding the Third Proportional to 287,760.09 and 451,425.66

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Solution

The third proportional to 287,760.09 and 451,425.66 is: 708,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760.09 : 451,425.66 = 451,425.66 : x
  2. Step 2: Convert to fraction form
    287,760.09/451,425.66 = 451,425.66/x
  3. Step 3: Cross multiply
    287,760.09x = 451,425.66 × 451,425.66
  4. Step 4: Simplify right side
    287,760.09x = 203,785,123,120.74
  5. Step 5: Solve for x
    x = 203,785,123,120.74/287,760.09
  6. Step 6: Final answer
    x = 708,177.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.