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Finding the Third Proportional to 89,252 and 138,198

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Solution

The third proportional to 89,252 and 138,198 is: 213,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,252 : 138,198 = 138,198 : x
  2. Step 2: Convert to fraction form
    89,252/138,198 = 138,198/x
  3. Step 3: Cross multiply
    89,252x = 138,198 × 138,198
  4. Step 4: Simplify right side
    89,252x = 19,098,687,204
  5. Step 5: Solve for x
    x = 19,098,687,204/89,252
  6. Step 6: Final answer
    x = 213,986.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.