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Finding the Third Proportional to 7.22 and 14.91

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Solution

The third proportional to 7.22 and 14.91 is: 30.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 14.91 = 14.91 : x
  2. Step 2: Convert to fraction form
    7.22/14.91 = 14.91/x
  3. Step 3: Cross multiply
    7.22x = 14.91 × 14.91
  4. Step 4: Simplify right side
    7.22x = 222.20
  5. Step 5: Solve for x
    x = 222.20/7.22
  6. Step 6: Final answer
    x = 30.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.