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Finding the Third Proportional to 441.07 and 680.80

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Solution

The third proportional to 441.07 and 680.80 is: 1,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.07 : 680.80 = 680.80 : x
  2. Step 2: Convert to fraction form
    441.07/680.80 = 680.80/x
  3. Step 3: Cross multiply
    441.07x = 680.80 × 680.80
  4. Step 4: Simplify right side
    441.07x = 463,489.70
  5. Step 5: Solve for x
    x = 463,489.70/441.07
  6. Step 6: Final answer
    x = 1,050.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.