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Finding the Third Proportional to 200.38 and 269.19

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Solution

The third proportional to 200.38 and 269.19 is: 361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 269.19 = 269.19 : x
  2. Step 2: Convert to fraction form
    200.38/269.19 = 269.19/x
  3. Step 3: Cross multiply
    200.38x = 269.19 × 269.19
  4. Step 4: Simplify right side
    200.38x = 72,461.91
  5. Step 5: Solve for x
    x = 72,461.91/200.38
  6. Step 6: Final answer
    x = 361.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.