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Finding the Third Proportional to 3.80 and 6.64

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Solution

The third proportional to 3.80 and 6.64 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 6.64 = 6.64 : x
  2. Step 2: Convert to fraction form
    3.80/6.64 = 6.64/x
  3. Step 3: Cross multiply
    3.80x = 6.64 × 6.64
  4. Step 4: Simplify right side
    3.80x = 44.15
  5. Step 5: Solve for x
    x = 44.15/3.80
  6. Step 6: Final answer
    x = 11.63

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.