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Finding the Third Proportional to 8.26 and 13.05

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Solution

The third proportional to 8.26 and 13.05 is: 20.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.26 : 13.05 = 13.05 : x
  2. Step 2: Convert to fraction form
    8.26/13.05 = 13.05/x
  3. Step 3: Cross multiply
    8.26x = 13.05 × 13.05
  4. Step 4: Simplify right side
    8.26x = 170.24
  5. Step 5: Solve for x
    x = 170.24/8.26
  6. Step 6: Final answer
    x = 20.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.