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Finding the Third Proportional to 3.80 and 5.91

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Solution

The third proportional to 3.80 and 5.91 is: 9.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 5.91 = 5.91 : x
  2. Step 2: Convert to fraction form
    3.80/5.91 = 5.91/x
  3. Step 3: Cross multiply
    3.80x = 5.91 × 5.91
  4. Step 4: Simplify right side
    3.80x = 34.88
  5. Step 5: Solve for x
    x = 34.88/3.80
  6. Step 6: Final answer
    x = 9.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.