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Finding the Third Proportional to 82.13 and 122.75

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Solution

The third proportional to 82.13 and 122.75 is: 183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 122.75 = 122.75 : x
  2. Step 2: Convert to fraction form
    82.13/122.75 = 122.75/x
  3. Step 3: Cross multiply
    82.13x = 122.75 × 122.75
  4. Step 4: Simplify right side
    82.13x = 15,067.56
  5. Step 5: Solve for x
    x = 15,067.56/82.13
  6. Step 6: Final answer
    x = 183.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.