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Finding the Third Proportional to 17.67 and 26.39

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Solution

The third proportional to 17.67 and 26.39 is: 39.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.67 : 26.39 = 26.39 : x
  2. Step 2: Convert to fraction form
    17.67/26.39 = 26.39/x
  3. Step 3: Cross multiply
    17.67x = 26.39 × 26.39
  4. Step 4: Simplify right side
    17.67x = 696.47
  5. Step 5: Solve for x
    x = 696.47/17.67
  6. Step 6: Final answer
    x = 39.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.