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Finding the Third Proportional to 200.75 and 333.38

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Solution

The third proportional to 200.75 and 333.38 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 333.38 = 333.38 : x
  2. Step 2: Convert to fraction form
    200.75/333.38 = 333.38/x
  3. Step 3: Cross multiply
    200.75x = 333.38 × 333.38
  4. Step 4: Simplify right side
    200.75x = 111,138.89
  5. Step 5: Solve for x
    x = 111,138.89/200.75
  6. Step 6: Final answer
    x = 553.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.