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Finding the Third Proportional to 451,287 and 991,134

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Solution

The third proportional to 451,287 and 991,134 is: 2,176,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,287 : 991,134 = 991,134 : x
  2. Step 2: Convert to fraction form
    451,287/991,134 = 991,134/x
  3. Step 3: Cross multiply
    451,287x = 991,134 × 991,134
  4. Step 4: Simplify right side
    451,287x = 982,346,605,956
  5. Step 5: Solve for x
    x = 982,346,605,956/451,287
  6. Step 6: Final answer
    x = 2,176,766.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.