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Finding the Third Proportional to 89,252 and 138,199

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Solution

The third proportional to 89,252 and 138,199 is: 213,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,252 : 138,199 = 138,199 : x
  2. Step 2: Convert to fraction form
    89,252/138,199 = 138,199/x
  3. Step 3: Cross multiply
    89,252x = 138,199 × 138,199
  4. Step 4: Simplify right side
    89,252x = 19,098,963,601
  5. Step 5: Solve for x
    x = 19,098,963,601/89,252
  6. Step 6: Final answer
    x = 213,989.19

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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.