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Finding the Third Proportional to 441,530 and 699,448

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Solution

The third proportional to 441,530 and 699,448 is: 1,108,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,530 : 699,448 = 699,448 : x
  2. Step 2: Convert to fraction form
    441,530/699,448 = 699,448/x
  3. Step 3: Cross multiply
    441,530x = 699,448 × 699,448
  4. Step 4: Simplify right side
    441,530x = 489,227,504,704
  5. Step 5: Solve for x
    x = 489,227,504,704/441,530
  6. Step 6: Final answer
    x = 1,108,027.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.