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Finding the Third Proportional to 89,320 and 138,241

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Solution

The third proportional to 89,320 and 138,241 is: 213,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,320 : 138,241 = 138,241 : x
  2. Step 2: Convert to fraction form
    89,320/138,241 = 138,241/x
  3. Step 3: Cross multiply
    89,320x = 138,241 × 138,241
  4. Step 4: Simplify right side
    89,320x = 19,110,574,081
  5. Step 5: Solve for x
    x = 19,110,574,081/89,320
  6. Step 6: Final answer
    x = 213,956.27

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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.