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Finding the Third Proportional to 3.80 and 8.67

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Solution

The third proportional to 3.80 and 8.67 is: 19.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 8.67 = 8.67 : x
  2. Step 2: Convert to fraction form
    3.80/8.67 = 8.67/x
  3. Step 3: Cross multiply
    3.80x = 8.67 × 8.67
  4. Step 4: Simplify right side
    3.80x = 75.20
  5. Step 5: Solve for x
    x = 75.20/3.80
  6. Step 6: Final answer
    x = 19.81

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.