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Finding the Third Proportional to 67 and 135

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Solution

The third proportional to 67 and 135 is: 272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 135 = 135 : x
  2. Step 2: Convert to fraction form
    67/135 = 135/x
  3. Step 3: Cross multiply
    67x = 135 × 135
  4. Step 4: Simplify right side
    67x = 18,225
  5. Step 5: Solve for x
    x = 18,225/67
  6. Step 6: Final answer
    x = 272.01

Related Problems

Find third proportional to 33.50 and 67.50
Half scale
Find third proportional to 134 and 270
Double scale
Find third proportional to 69 and 139
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.