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Finding the Third Proportional to 408.94 and 868.97

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Solution

The third proportional to 408.94 and 868.97 is: 1,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 868.97 = 868.97 : x
  2. Step 2: Convert to fraction form
    408.94/868.97 = 868.97/x
  3. Step 3: Cross multiply
    408.94x = 868.97 × 868.97
  4. Step 4: Simplify right side
    408.94x = 755,106.69
  5. Step 5: Solve for x
    x = 755,106.69/408.94
  6. Step 6: Final answer
    x = 1,846.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.