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Finding the Third Proportional to 200,512.97 and 445,854.38

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Solution

The third proportional to 200,512.97 and 445,854.38 is: 991,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512.97 : 445,854.38 = 445,854.38 : x
  2. Step 2: Convert to fraction form
    200,512.97/445,854.38 = 445,854.38/x
  3. Step 3: Cross multiply
    200,512.97x = 445,854.38 × 445,854.38
  4. Step 4: Simplify right side
    200,512.97x = 198,786,123,706.64
  5. Step 5: Solve for x
    x = 198,786,123,706.64/200,512.97
  6. Step 6: Final answer
    x = 991,387.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.