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Finding the Third Proportional to 408.80 and 621.14

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Solution

The third proportional to 408.80 and 621.14 is: 943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 621.14 = 621.14 : x
  2. Step 2: Convert to fraction form
    408.80/621.14 = 621.14/x
  3. Step 3: Cross multiply
    408.80x = 621.14 × 621.14
  4. Step 4: Simplify right side
    408.80x = 385,815.68
  5. Step 5: Solve for x
    x = 385,815.68/408.80
  6. Step 6: Final answer
    x = 943.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.