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Finding the Third Proportional to 5.49 and 6.67

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Solution

The third proportional to 5.49 and 6.67 is: 8.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.49 : 6.67 = 6.67 : x
  2. Step 2: Convert to fraction form
    5.49/6.67 = 6.67/x
  3. Step 3: Cross multiply
    5.49x = 6.67 × 6.67
  4. Step 4: Simplify right side
    5.49x = 44.53
  5. Step 5: Solve for x
    x = 44.53/5.49
  6. Step 6: Final answer
    x = 8.11

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.