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Finding the Third Proportional to 132,240.38 and 284,365.13

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Solution

The third proportional to 132,240.38 and 284,365.13 is: 611,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,240.38 : 284,365.13 = 284,365.13 : x
  2. Step 2: Convert to fraction form
    132,240.38/284,365.13 = 284,365.13/x
  3. Step 3: Cross multiply
    132,240.38x = 284,365.13 × 284,365.13
  4. Step 4: Simplify right side
    132,240.38x = 80,863,524,316.27
  5. Step 5: Solve for x
    x = 80,863,524,316.27/132,240.38
  6. Step 6: Final answer
    x = 611,488.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.