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Finding the Third Proportional to 67.21 and 134.43

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Solution

The third proportional to 67.21 and 134.43 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.21 : 134.43 = 134.43 : x
  2. Step 2: Convert to fraction form
    67.21/134.43 = 134.43/x
  3. Step 3: Cross multiply
    67.21x = 134.43 × 134.43
  4. Step 4: Simplify right side
    67.21x = 18,070.30
  5. Step 5: Solve for x
    x = 18,070.30/67.21
  6. Step 6: Final answer
    x = 268.85

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.