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Finding the Third Proportional to 300.67 and 449.80

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Solution

The third proportional to 300.67 and 449.80 is: 672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.67 : 449.80 = 449.80 : x
  2. Step 2: Convert to fraction form
    300.67/449.80 = 449.80/x
  3. Step 3: Cross multiply
    300.67x = 449.80 × 449.80
  4. Step 4: Simplify right side
    300.67x = 202,321.07
  5. Step 5: Solve for x
    x = 202,321.07/300.67
  6. Step 6: Final answer
    x = 672.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.