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Finding the Third Proportional to 67.39 and 89.54

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Solution

The third proportional to 67.39 and 89.54 is: 118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.39 : 89.54 = 89.54 : x
  2. Step 2: Convert to fraction form
    67.39/89.54 = 89.54/x
  3. Step 3: Cross multiply
    67.39x = 89.54 × 89.54
  4. Step 4: Simplify right side
    67.39x = 8,017.94
  5. Step 5: Solve for x
    x = 8,017.94/67.39
  6. Step 6: Final answer
    x = 118.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.