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Finding the Third Proportional to 339,517 and 746,828

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Solution

The third proportional to 339,517 and 746,828 is: 1,642,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,517 : 746,828 = 746,828 : x
  2. Step 2: Convert to fraction form
    339,517/746,828 = 746,828/x
  3. Step 3: Cross multiply
    339,517x = 746,828 × 746,828
  4. Step 4: Simplify right side
    339,517x = 557,752,061,584
  5. Step 5: Solve for x
    x = 557,752,061,584/339,517
  6. Step 6: Final answer
    x = 1,642,780.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.