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Finding the Third Proportional to 441.75 and 694.88

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Solution

The third proportional to 441.75 and 694.88 is: 1,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 694.88 = 694.88 : x
  2. Step 2: Convert to fraction form
    441.75/694.88 = 694.88/x
  3. Step 3: Cross multiply
    441.75x = 694.88 × 694.88
  4. Step 4: Simplify right side
    441.75x = 482,851.27
  5. Step 5: Solve for x
    x = 482,851.27/441.75
  6. Step 6: Final answer
    x = 1,093.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.