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Finding the Third Proportional to 200,676 and 273,330

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Solution

The third proportional to 200,676 and 273,330 is: 372,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676 : 273,330 = 273,330 : x
  2. Step 2: Convert to fraction form
    200,676/273,330 = 273,330/x
  3. Step 3: Cross multiply
    200,676x = 273,330 × 273,330
  4. Step 4: Simplify right side
    200,676x = 74,709,288,900
  5. Step 5: Solve for x
    x = 74,709,288,900/200,676
  6. Step 6: Final answer
    x = 372,288.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.