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Finding the Third Proportional to 408.09 and 568.97

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Solution

The third proportional to 408.09 and 568.97 is: 793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 568.97 = 568.97 : x
  2. Step 2: Convert to fraction form
    408.09/568.97 = 568.97/x
  3. Step 3: Cross multiply
    408.09x = 568.97 × 568.97
  4. Step 4: Simplify right side
    408.09x = 323,725.44
  5. Step 5: Solve for x
    x = 323,725.44/408.09
  6. Step 6: Final answer
    x = 793.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.