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Finding the Third Proportional to 323,388 and 667,521

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Solution

The third proportional to 323,388 and 667,521 is: 1,377,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,388 : 667,521 = 667,521 : x
  2. Step 2: Convert to fraction form
    323,388/667,521 = 667,521/x
  3. Step 3: Cross multiply
    323,388x = 667,521 × 667,521
  4. Step 4: Simplify right side
    323,388x = 445,584,285,441
  5. Step 5: Solve for x
    x = 445,584,285,441/323,388
  6. Step 6: Final answer
    x = 1,377,862.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.