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Finding the Third Proportional to 11.48 and 17.22

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Solution

The third proportional to 11.48 and 17.22 is: 25.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.48 : 17.22 = 17.22 : x
  2. Step 2: Convert to fraction form
    11.48/17.22 = 17.22/x
  3. Step 3: Cross multiply
    11.48x = 17.22 × 17.22
  4. Step 4: Simplify right side
    11.48x = 296.51
  5. Step 5: Solve for x
    x = 296.51/11.48
  6. Step 6: Final answer
    x = 25.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.