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Finding the Third Proportional to 181,715 and 391,204

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Solution

The third proportional to 181,715 and 391,204 is: 842,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,715 : 391,204 = 391,204 : x
  2. Step 2: Convert to fraction form
    181,715/391,204 = 391,204/x
  3. Step 3: Cross multiply
    181,715x = 391,204 × 391,204
  4. Step 4: Simplify right side
    181,715x = 153,040,569,616
  5. Step 5: Solve for x
    x = 153,040,569,616/181,715
  6. Step 6: Final answer
    x = 842,201.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.