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Finding the Third Proportional to 408.09 and 892.69

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Solution

The third proportional to 408.09 and 892.69 is: 1,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 892.69 = 892.69 : x
  2. Step 2: Convert to fraction form
    408.09/892.69 = 892.69/x
  3. Step 3: Cross multiply
    408.09x = 892.69 × 892.69
  4. Step 4: Simplify right side
    408.09x = 796,890.97
  5. Step 5: Solve for x
    x = 796,890.97/408.09
  6. Step 6: Final answer
    x = 1,952.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.