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Finding the Third Proportional to 300.64 and 449.76

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Solution

The third proportional to 300.64 and 449.76 is: 672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.64 : 449.76 = 449.76 : x
  2. Step 2: Convert to fraction form
    300.64/449.76 = 449.76/x
  3. Step 3: Cross multiply
    300.64x = 449.76 × 449.76
  4. Step 4: Simplify right side
    300.64x = 202,283.85
  5. Step 5: Solve for x
    x = 202,283.85/300.64
  6. Step 6: Final answer
    x = 672.83

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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.