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Finding the Third Proportional to 398,954 and 853,204

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Solution

The third proportional to 398,954 and 853,204 is: 1,824,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,954 : 853,204 = 853,204 : x
  2. Step 2: Convert to fraction form
    398,954/853,204 = 853,204/x
  3. Step 3: Cross multiply
    398,954x = 853,204 × 853,204
  4. Step 4: Simplify right side
    398,954x = 727,957,065,616
  5. Step 5: Solve for x
    x = 727,957,065,616/398,954
  6. Step 6: Final answer
    x = 1,824,664.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.