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Finding the Third Proportional to 396,708 and 826,344

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Solution

The third proportional to 396,708 and 826,344 is: 1,721,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,708 : 826,344 = 826,344 : x
  2. Step 2: Convert to fraction form
    396,708/826,344 = 826,344/x
  3. Step 3: Cross multiply
    396,708x = 826,344 × 826,344
  4. Step 4: Simplify right side
    396,708x = 682,844,406,336
  5. Step 5: Solve for x
    x = 682,844,406,336/396,708
  6. Step 6: Final answer
    x = 1,721,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.