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Finding the Third Proportional to 318,834 and 680,328

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Solution

The third proportional to 318,834 and 680,328 is: 1,451,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,834 : 680,328 = 680,328 : x
  2. Step 2: Convert to fraction form
    318,834/680,328 = 680,328/x
  3. Step 3: Cross multiply
    318,834x = 680,328 × 680,328
  4. Step 4: Simplify right side
    318,834x = 462,846,187,584
  5. Step 5: Solve for x
    x = 462,846,187,584/318,834
  6. Step 6: Final answer
    x = 1,451,683.91

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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.