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Finding the Third Proportional to 552,940 and 853,782

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Solution

The third proportional to 552,940 and 853,782 is: 1,318,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,940 : 853,782 = 853,782 : x
  2. Step 2: Convert to fraction form
    552,940/853,782 = 853,782/x
  3. Step 3: Cross multiply
    552,940x = 853,782 × 853,782
  4. Step 4: Simplify right side
    552,940x = 728,943,703,524
  5. Step 5: Solve for x
    x = 728,943,703,524/552,940
  6. Step 6: Final answer
    x = 1,318,305.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.