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Finding the Third Proportional to 416,869 and 853,393

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Solution

The third proportional to 416,869 and 853,393 is: 1,747,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,869 : 853,393 = 853,393 : x
  2. Step 2: Convert to fraction form
    416,869/853,393 = 853,393/x
  3. Step 3: Cross multiply
    416,869x = 853,393 × 853,393
  4. Step 4: Simplify right side
    416,869x = 728,279,612,449
  5. Step 5: Solve for x
    x = 728,279,612,449/416,869
  6. Step 6: Final answer
    x = 1,747,022.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.