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Finding the Third Proportional to 231,330 and 337,149

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Solution

The third proportional to 231,330 and 337,149 is: 491,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,330 : 337,149 = 337,149 : x
  2. Step 2: Convert to fraction form
    231,330/337,149 = 337,149/x
  3. Step 3: Cross multiply
    231,330x = 337,149 × 337,149
  4. Step 4: Simplify right side
    231,330x = 113,669,448,201
  5. Step 5: Solve for x
    x = 113,669,448,201/231,330
  6. Step 6: Final answer
    x = 491,373.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.