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Finding the Third Proportional to 82.13 and 121.19

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Solution

The third proportional to 82.13 and 121.19 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 121.19 = 121.19 : x
  2. Step 2: Convert to fraction form
    82.13/121.19 = 121.19/x
  3. Step 3: Cross multiply
    82.13x = 121.19 × 121.19
  4. Step 4: Simplify right side
    82.13x = 14,686.41
  5. Step 5: Solve for x
    x = 14,686.41/82.13
  6. Step 6: Final answer
    x = 178.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.