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Finding the Third Proportional to 408.25 and 884.75

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Solution

The third proportional to 408.25 and 884.75 is: 1,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 884.75 = 884.75 : x
  2. Step 2: Convert to fraction form
    408.25/884.75 = 884.75/x
  3. Step 3: Cross multiply
    408.25x = 884.75 × 884.75
  4. Step 4: Simplify right side
    408.25x = 782,782.56
  5. Step 5: Solve for x
    x = 782,782.56/408.25
  6. Step 6: Final answer
    x = 1,917.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.