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Finding the Third Proportional to 318,328 and 684,059

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Solution

The third proportional to 318,328 and 684,059 is: 1,469,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,328 : 684,059 = 684,059 : x
  2. Step 2: Convert to fraction form
    318,328/684,059 = 684,059/x
  3. Step 3: Cross multiply
    318,328x = 684,059 × 684,059
  4. Step 4: Simplify right side
    318,328x = 467,936,715,481
  5. Step 5: Solve for x
    x = 467,936,715,481/318,328
  6. Step 6: Final answer
    x = 1,469,982.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.