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Finding the Third Proportional to 3.09 and 6.28

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Solution

The third proportional to 3.09 and 6.28 is: 12.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 6.28 = 6.28 : x
  2. Step 2: Convert to fraction form
    3.09/6.28 = 6.28/x
  3. Step 3: Cross multiply
    3.09x = 6.28 × 6.28
  4. Step 4: Simplify right side
    3.09x = 39.45
  5. Step 5: Solve for x
    x = 39.45/3.09
  6. Step 6: Final answer
    x = 12.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.