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Finding the Third Proportional to 408.80 and 872.17

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Solution

The third proportional to 408.80 and 872.17 is: 1,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 872.17 = 872.17 : x
  2. Step 2: Convert to fraction form
    408.80/872.17 = 872.17/x
  3. Step 3: Cross multiply
    408.80x = 872.17 × 872.17
  4. Step 4: Simplify right side
    408.80x = 760,687.19
  5. Step 5: Solve for x
    x = 760,687.19/408.80
  6. Step 6: Final answer
    x = 1,860.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.