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Finding the Third Proportional to 3.66 and 6.91

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Solution

The third proportional to 3.66 and 6.91 is: 13.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.66 : 6.91 = 6.91 : x
  2. Step 2: Convert to fraction form
    3.66/6.91 = 6.91/x
  3. Step 3: Cross multiply
    3.66x = 6.91 × 6.91
  4. Step 4: Simplify right side
    3.66x = 47.82
  5. Step 5: Solve for x
    x = 47.82/3.66
  6. Step 6: Final answer
    x = 13.06

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.