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Finding the Third Proportional to 301.08 and 449.65

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Solution

The third proportional to 301.08 and 449.65 is: 671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 449.65 = 449.65 : x
  2. Step 2: Convert to fraction form
    301.08/449.65 = 449.65/x
  3. Step 3: Cross multiply
    301.08x = 449.65 × 449.65
  4. Step 4: Simplify right side
    301.08x = 202,183.72
  5. Step 5: Solve for x
    x = 202,183.72/301.08
  6. Step 6: Final answer
    x = 671.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.