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Finding the Third Proportional to 83.81 and 121.69

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Solution

The third proportional to 83.81 and 121.69 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.81 : 121.69 = 121.69 : x
  2. Step 2: Convert to fraction form
    83.81/121.69 = 121.69/x
  3. Step 3: Cross multiply
    83.81x = 121.69 × 121.69
  4. Step 4: Simplify right side
    83.81x = 14,807.85
  5. Step 5: Solve for x
    x = 14,807.85/83.81
  6. Step 6: Final answer
    x = 176.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.