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Finding the Third Proportional to 17.25 and 26.91

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Solution

The third proportional to 17.25 and 26.91 is: 41.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.25 : 26.91 = 26.91 : x
  2. Step 2: Convert to fraction form
    17.25/26.91 = 26.91/x
  3. Step 3: Cross multiply
    17.25x = 26.91 × 26.91
  4. Step 4: Simplify right side
    17.25x = 723.95
  5. Step 5: Solve for x
    x = 723.95/17.25
  6. Step 6: Final answer
    x = 41.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.