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Finding the Third Proportional to 3.09 and 6.07

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Solution

The third proportional to 3.09 and 6.07 is: 11.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 6.07 = 6.07 : x
  2. Step 2: Convert to fraction form
    3.09/6.07 = 6.07/x
  3. Step 3: Cross multiply
    3.09x = 6.07 × 6.07
  4. Step 4: Simplify right side
    3.09x = 36.83
  5. Step 5: Solve for x
    x = 36.83/3.09
  6. Step 6: Final answer
    x = 11.94

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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.