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Finding the Third Proportional to 66 and 134

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Solution

The third proportional to 66 and 134 is: 272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 134 = 134 : x
  2. Step 2: Convert to fraction form
    66/134 = 134/x
  3. Step 3: Cross multiply
    66x = 134 × 134
  4. Step 4: Simplify right side
    66x = 17,956
  5. Step 5: Solve for x
    x = 17,956/66
  6. Step 6: Final answer
    x = 272.06

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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.