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Finding the Third Proportional to 339,230 and 731,866

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Solution

The third proportional to 339,230 and 731,866 is: 1,578,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,230 : 731,866 = 731,866 : x
  2. Step 2: Convert to fraction form
    339,230/731,866 = 731,866/x
  3. Step 3: Cross multiply
    339,230x = 731,866 × 731,866
  4. Step 4: Simplify right side
    339,230x = 535,627,841,956
  5. Step 5: Solve for x
    x = 535,627,841,956/339,230
  6. Step 6: Final answer
    x = 1,578,951.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.