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Finding the Third Proportional to 3.09 and 6.66

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Solution

The third proportional to 3.09 and 6.66 is: 14.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 6.66 = 6.66 : x
  2. Step 2: Convert to fraction form
    3.09/6.66 = 6.66/x
  3. Step 3: Cross multiply
    3.09x = 6.66 × 6.66
  4. Step 4: Simplify right side
    3.09x = 44.31
  5. Step 5: Solve for x
    x = 44.31/3.09
  6. Step 6: Final answer
    x = 14.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.