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Finding the Third Proportional to 300,834 and 451,317

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Solution

The third proportional to 300,834 and 451,317 is: 677,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,834 : 451,317 = 451,317 : x
  2. Step 2: Convert to fraction form
    300,834/451,317 = 451,317/x
  3. Step 3: Cross multiply
    300,834x = 451,317 × 451,317
  4. Step 4: Simplify right side
    300,834x = 203,687,034,489
  5. Step 5: Solve for x
    x = 203,687,034,489/300,834
  6. Step 6: Final answer
    x = 677,074.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.