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Finding the Third Proportional to 6 and 13.13

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Solution

The third proportional to 6 and 13.13 is: 28.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 13.13 = 13.13 : x
  2. Step 2: Convert to fraction form
    6/13.13 = 13.13/x
  3. Step 3: Cross multiply
    6x = 13.13 × 13.13
  4. Step 4: Simplify right side
    6x = 172.27
  5. Step 5: Solve for x
    x = 172.27/6
  6. Step 6: Final answer
    x = 28.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.