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Finding the Third Proportional to 67 and 134

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Solution

The third proportional to 67 and 134 is: 268

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 134 = 134 : x
  2. Step 2: Convert to fraction form
    67/134 = 134/x
  3. Step 3: Cross multiply
    67x = 134 × 134
  4. Step 4: Simplify right side
    67x = 17,956
  5. Step 5: Solve for x
    x = 17,956/67
  6. Step 6: Final answer
    x = 268

Related Problems

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Half scale
Find third proportional to 134 and 268
Double scale
Find third proportional to 69 and 138
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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.