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Finding the Third Proportional to 3.83 and 8.26

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Solution

The third proportional to 3.83 and 8.26 is: 17.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.83 : 8.26 = 8.26 : x
  2. Step 2: Convert to fraction form
    3.83/8.26 = 8.26/x
  3. Step 3: Cross multiply
    3.83x = 8.26 × 8.26
  4. Step 4: Simplify right side
    3.83x = 68.26
  5. Step 5: Solve for x
    x = 68.26/3.83
  6. Step 6: Final answer
    x = 17.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.