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Finding the Third Proportional to 396,821 and 608,050

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Solution

The third proportional to 396,821 and 608,050 is: 931,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,821 : 608,050 = 608,050 : x
  2. Step 2: Convert to fraction form
    396,821/608,050 = 608,050/x
  3. Step 3: Cross multiply
    396,821x = 608,050 × 608,050
  4. Step 4: Simplify right side
    396,821x = 369,724,802,500
  5. Step 5: Solve for x
    x = 369,724,802,500/396,821
  6. Step 6: Final answer
    x = 931,716.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.