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Finding the Third Proportional to 83.11 and 128.67

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Solution

The third proportional to 83.11 and 128.67 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 128.67 = 128.67 : x
  2. Step 2: Convert to fraction form
    83.11/128.67 = 128.67/x
  3. Step 3: Cross multiply
    83.11x = 128.67 × 128.67
  4. Step 4: Simplify right side
    83.11x = 16,556.45
  5. Step 5: Solve for x
    x = 16,556.45/83.11
  6. Step 6: Final answer
    x = 199.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.