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Finding the Third Proportional to 235.45 and 269.67

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Solution

The third proportional to 235.45 and 269.67 is: 308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.45 : 269.67 = 269.67 : x
  2. Step 2: Convert to fraction form
    235.45/269.67 = 269.67/x
  3. Step 3: Cross multiply
    235.45x = 269.67 × 269.67
  4. Step 4: Simplify right side
    235.45x = 72,722.92
  5. Step 5: Solve for x
    x = 72,722.92/235.45
  6. Step 6: Final answer
    x = 308.86

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.