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Finding the Third Proportional to 17.09 and 26.89

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Solution

The third proportional to 17.09 and 26.89 is: 42.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 26.89 = 26.89 : x
  2. Step 2: Convert to fraction form
    17.09/26.89 = 26.89/x
  3. Step 3: Cross multiply
    17.09x = 26.89 × 26.89
  4. Step 4: Simplify right side
    17.09x = 723.32
  5. Step 5: Solve for x
    x = 723.32/17.09
  6. Step 6: Final answer
    x = 42.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.