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Finding the Third Proportional to 297,849 and 648,234

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Solution

The third proportional to 297,849 and 648,234 is: 1,410,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,849 : 648,234 = 648,234 : x
  2. Step 2: Convert to fraction form
    297,849/648,234 = 648,234/x
  3. Step 3: Cross multiply
    297,849x = 648,234 × 648,234
  4. Step 4: Simplify right side
    297,849x = 420,207,318,756
  5. Step 5: Solve for x
    x = 420,207,318,756/297,849
  6. Step 6: Final answer
    x = 1,410,806.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.