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Finding the Third Proportional to 339,772 and 408,049

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Solution

The third proportional to 339,772 and 408,049 is: 490,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,772 : 408,049 = 408,049 : x
  2. Step 2: Convert to fraction form
    339,772/408,049 = 408,049/x
  3. Step 3: Cross multiply
    339,772x = 408,049 × 408,049
  4. Step 4: Simplify right side
    339,772x = 166,503,986,401
  5. Step 5: Solve for x
    x = 166,503,986,401/339,772
  6. Step 6: Final answer
    x = 490,046.23

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.