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Finding the Third Proportional to 17.26 and 36.21

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Solution

The third proportional to 17.26 and 36.21 is: 75.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.26 : 36.21 = 36.21 : x
  2. Step 2: Convert to fraction form
    17.26/36.21 = 36.21/x
  3. Step 3: Cross multiply
    17.26x = 36.21 × 36.21
  4. Step 4: Simplify right side
    17.26x = 1,311.23
  5. Step 5: Solve for x
    x = 1,311.23/17.26
  6. Step 6: Final answer
    x = 75.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.