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Finding the Third Proportional to 85,918 and 188,198

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Solution

The third proportional to 85,918 and 188,198 is: 412,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,918 : 188,198 = 188,198 : x
  2. Step 2: Convert to fraction form
    85,918/188,198 = 188,198/x
  3. Step 3: Cross multiply
    85,918x = 188,198 × 188,198
  4. Step 4: Simplify right side
    85,918x = 35,418,487,204
  5. Step 5: Solve for x
    x = 35,418,487,204/85,918
  6. Step 6: Final answer
    x = 412,235.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.