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Finding the Third Proportional to 339,498 and 746,790

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Solution

The third proportional to 339,498 and 746,790 is: 1,642,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,498 : 746,790 = 746,790 : x
  2. Step 2: Convert to fraction form
    339,498/746,790 = 746,790/x
  3. Step 3: Cross multiply
    339,498x = 746,790 × 746,790
  4. Step 4: Simplify right side
    339,498x = 557,695,304,100
  5. Step 5: Solve for x
    x = 557,695,304,100/339,498
  6. Step 6: Final answer
    x = 1,642,705.71

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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.