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Finding the Third Proportional to 7.24 and 10.91

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Solution

The third proportional to 7.24 and 10.91 is: 16.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.24 : 10.91 = 10.91 : x
  2. Step 2: Convert to fraction form
    7.24/10.91 = 10.91/x
  3. Step 3: Cross multiply
    7.24x = 10.91 × 10.91
  4. Step 4: Simplify right side
    7.24x = 119.06
  5. Step 5: Solve for x
    x = 119.06/7.24
  6. Step 6: Final answer
    x = 16.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.