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Finding the Third Proportional to 83.91 and 122.81

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Solution

The third proportional to 83.91 and 122.81 is: 179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.91 : 122.81 = 122.81 : x
  2. Step 2: Convert to fraction form
    83.91/122.81 = 122.81/x
  3. Step 3: Cross multiply
    83.91x = 122.81 × 122.81
  4. Step 4: Simplify right side
    83.91x = 15,082.91
  5. Step 5: Solve for x
    x = 15,082.91/83.91
  6. Step 6: Final answer
    x = 179.76

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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.