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Finding the Third Proportional to 17.56 and 26.09

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Solution

The third proportional to 17.56 and 26.09 is: 38.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.56 : 26.09 = 26.09 : x
  2. Step 2: Convert to fraction form
    17.56/26.09 = 26.09/x
  3. Step 3: Cross multiply
    17.56x = 26.09 × 26.09
  4. Step 4: Simplify right side
    17.56x = 680.88
  5. Step 5: Solve for x
    x = 680.88/17.56
  6. Step 6: Final answer
    x = 38.77

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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.