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Finding the Third Proportional to 323,400 and 687,624

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Solution

The third proportional to 323,400 and 687,624 is: 1,462,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,400 : 687,624 = 687,624 : x
  2. Step 2: Convert to fraction form
    323,400/687,624 = 687,624/x
  3. Step 3: Cross multiply
    323,400x = 687,624 × 687,624
  4. Step 4: Simplify right side
    323,400x = 472,826,765,376
  5. Step 5: Solve for x
    x = 472,826,765,376/323,400
  6. Step 6: Final answer
    x = 1,462,049.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.