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Finding the Third Proportional to 339,879 and 694,500

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Solution

The third proportional to 339,879 and 694,500 is: 1,419,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,879 : 694,500 = 694,500 : x
  2. Step 2: Convert to fraction form
    339,879/694,500 = 694,500/x
  3. Step 3: Cross multiply
    339,879x = 694,500 × 694,500
  4. Step 4: Simplify right side
    339,879x = 482,330,250,000
  5. Step 5: Solve for x
    x = 482,330,250,000/339,879
  6. Step 6: Final answer
    x = 1,419,123.42

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.