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Finding the Third Proportional to 321,387 and 667,684

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Solution

The third proportional to 321,387 and 667,684 is: 1,387,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,387 : 667,684 = 667,684 : x
  2. Step 2: Convert to fraction form
    321,387/667,684 = 667,684/x
  3. Step 3: Cross multiply
    321,387x = 667,684 × 667,684
  4. Step 4: Simplify right side
    321,387x = 445,801,923,856
  5. Step 5: Solve for x
    x = 445,801,923,856/321,387
  6. Step 6: Final answer
    x = 1,387,118.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.