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Finding the Third Proportional to 6.13 and 11.13

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Solution

The third proportional to 6.13 and 11.13 is: 20.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 11.13 = 11.13 : x
  2. Step 2: Convert to fraction form
    6.13/11.13 = 11.13/x
  3. Step 3: Cross multiply
    6.13x = 11.13 × 11.13
  4. Step 4: Simplify right side
    6.13x = 123.77
  5. Step 5: Solve for x
    x = 123.77/6.13
  6. Step 6: Final answer
    x = 20.21

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.