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Finding the Third Proportional to 269.38 and 439.38

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Solution

The third proportional to 269.38 and 439.38 is: 716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 439.38 = 439.38 : x
  2. Step 2: Convert to fraction form
    269.38/439.38 = 439.38/x
  3. Step 3: Cross multiply
    269.38x = 439.38 × 439.38
  4. Step 4: Simplify right side
    269.38x = 193,050.39
  5. Step 5: Solve for x
    x = 193,050.39/269.38
  6. Step 6: Final answer
    x = 716.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.