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Finding the Third Proportional to 5.91 and 12.13

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Solution

The third proportional to 5.91 and 12.13 is: 24.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.91 : 12.13 = 12.13 : x
  2. Step 2: Convert to fraction form
    5.91/12.13 = 12.13/x
  3. Step 3: Cross multiply
    5.91x = 12.13 × 12.13
  4. Step 4: Simplify right side
    5.91x = 147.11
  5. Step 5: Solve for x
    x = 147.11/5.91
  6. Step 6: Final answer
    x = 24.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.