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Finding the Third Proportional to 3.67 and 5.65

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Solution

The third proportional to 3.67 and 5.65 is: 8.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.67 : 5.65 = 5.65 : x
  2. Step 2: Convert to fraction form
    3.67/5.65 = 5.65/x
  3. Step 3: Cross multiply
    3.67x = 5.65 × 5.65
  4. Step 4: Simplify right side
    3.67x = 31.95
  5. Step 5: Solve for x
    x = 31.95/3.67
  6. Step 6: Final answer
    x = 8.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.