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Finding the Third Proportional to 339,456 and 731,376

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Solution

The third proportional to 339,456 and 731,376 is: 1,575,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,456 : 731,376 = 731,376 : x
  2. Step 2: Convert to fraction form
    339,456/731,376 = 731,376/x
  3. Step 3: Cross multiply
    339,456x = 731,376 × 731,376
  4. Step 4: Simplify right side
    339,456x = 534,910,853,376
  5. Step 5: Solve for x
    x = 534,910,853,376/339,456
  6. Step 6: Final answer
    x = 1,575,788.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.