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Finding the Third Proportional to 313,876 and 447,134

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Solution

The third proportional to 313,876 and 447,134 is: 636,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876 : 447,134 = 447,134 : x
  2. Step 2: Convert to fraction form
    313,876/447,134 = 447,134/x
  3. Step 3: Cross multiply
    313,876x = 447,134 × 447,134
  4. Step 4: Simplify right side
    313,876x = 199,928,813,956
  5. Step 5: Solve for x
    x = 199,928,813,956/313,876
  6. Step 6: Final answer
    x = 636,967.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.