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Finding the Third Proportional to 7.91 and 12.02

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Solution

The third proportional to 7.91 and 12.02 is: 18.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.91 : 12.02 = 12.02 : x
  2. Step 2: Convert to fraction form
    7.91/12.02 = 12.02/x
  3. Step 3: Cross multiply
    7.91x = 12.02 × 12.02
  4. Step 4: Simplify right side
    7.91x = 144.56
  5. Step 5: Solve for x
    x = 144.56/7.91
  6. Step 6: Final answer
    x = 18.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.