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Finding the Third Proportional to 89,540 and 121,161

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Solution

The third proportional to 89,540 and 121,161 is: 163,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,540 : 121,161 = 121,161 : x
  2. Step 2: Convert to fraction form
    89,540/121,161 = 121,161/x
  3. Step 3: Cross multiply
    89,540x = 121,161 × 121,161
  4. Step 4: Simplify right side
    89,540x = 14,679,987,921
  5. Step 5: Solve for x
    x = 14,679,987,921/89,540
  6. Step 6: Final answer
    x = 163,948.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.