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Finding the Third Proportional to 6.60 and 13.56

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Solution

The third proportional to 6.60 and 13.56 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.60 : 13.56 = 13.56 : x
  2. Step 2: Convert to fraction form
    6.60/13.56 = 13.56/x
  3. Step 3: Cross multiply
    6.60x = 13.56 × 13.56
  4. Step 4: Simplify right side
    6.60x = 183.84
  5. Step 5: Solve for x
    x = 183.84/6.60
  6. Step 6: Final answer
    x = 27.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.