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Finding the Third Proportional to 318,902 and 676,676

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Solution

The third proportional to 318,902 and 676,676 is: 1,435,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,902 : 676,676 = 676,676 : x
  2. Step 2: Convert to fraction form
    318,902/676,676 = 676,676/x
  3. Step 3: Cross multiply
    318,902x = 676,676 × 676,676
  4. Step 4: Simplify right side
    318,902x = 457,890,408,976
  5. Step 5: Solve for x
    x = 457,890,408,976/318,902
  6. Step 6: Final answer
    x = 1,435,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.