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Finding the Third Proportional to 371.25 and 816.75

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Solution

The third proportional to 371.25 and 816.75 is: 1,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 816.75 = 816.75 : x
  2. Step 2: Convert to fraction form
    371.25/816.75 = 816.75/x
  3. Step 3: Cross multiply
    371.25x = 816.75 × 816.75
  4. Step 4: Simplify right side
    371.25x = 667,080.56
  5. Step 5: Solve for x
    x = 667,080.56/371.25
  6. Step 6: Final answer
    x = 1,796.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.