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Finding the Third Proportional to 3.13 and 6.16

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Solution

The third proportional to 3.13 and 6.16 is: 12.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.13 : 6.16 = 6.16 : x
  2. Step 2: Convert to fraction form
    3.13/6.16 = 6.16/x
  3. Step 3: Cross multiply
    3.13x = 6.16 × 6.16
  4. Step 4: Simplify right side
    3.13x = 38.00
  5. Step 5: Solve for x
    x = 38.00/3.13
  6. Step 6: Final answer
    x = 12.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.