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Finding the Third Proportional to 231,230 and 345,279

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Solution

The third proportional to 231,230 and 345,279 is: 515,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,230 : 345,279 = 345,279 : x
  2. Step 2: Convert to fraction form
    231,230/345,279 = 345,279/x
  3. Step 3: Cross multiply
    231,230x = 345,279 × 345,279
  4. Step 4: Simplify right side
    231,230x = 119,217,587,841
  5. Step 5: Solve for x
    x = 119,217,587,841/231,230
  6. Step 6: Final answer
    x = 515,580.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.