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Finding the Third Proportional to 67.08 and 135.84

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Solution

The third proportional to 67.08 and 135.84 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.08 : 135.84 = 135.84 : x
  2. Step 2: Convert to fraction form
    67.08/135.84 = 135.84/x
  3. Step 3: Cross multiply
    67.08x = 135.84 × 135.84
  4. Step 4: Simplify right side
    67.08x = 18,453.52
  5. Step 5: Solve for x
    x = 18,453.52/67.08
  6. Step 6: Final answer
    x = 275.10

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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.