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Finding the Third Proportional to 83.11 and 121.55

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Solution

The third proportional to 83.11 and 121.55 is: 177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 121.55 = 121.55 : x
  2. Step 2: Convert to fraction form
    83.11/121.55 = 121.55/x
  3. Step 3: Cross multiply
    83.11x = 121.55 × 121.55
  4. Step 4: Simplify right side
    83.11x = 14,775.07
  5. Step 5: Solve for x
    x = 14,775.07/83.11
  6. Step 6: Final answer
    x = 177.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.