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Finding the Third Proportional to 328,649 and 672,874

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Solution

The third proportional to 328,649 and 672,874 is: 1,377,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,649 : 672,874 = 672,874 : x
  2. Step 2: Convert to fraction form
    328,649/672,874 = 672,874/x
  3. Step 3: Cross multiply
    328,649x = 672,874 × 672,874
  4. Step 4: Simplify right side
    328,649x = 452,759,419,876
  5. Step 5: Solve for x
    x = 452,759,419,876/328,649
  6. Step 6: Final answer
    x = 1,377,638.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.