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Finding the Third Proportional to 449.30 and 674.44

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Solution

The third proportional to 449.30 and 674.44 is: 1,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.30 : 674.44 = 674.44 : x
  2. Step 2: Convert to fraction form
    449.30/674.44 = 674.44/x
  3. Step 3: Cross multiply
    449.30x = 674.44 × 674.44
  4. Step 4: Simplify right side
    449.30x = 454,865.94
  5. Step 5: Solve for x
    x = 454,865.94/449.30
  6. Step 6: Final answer
    x = 1,012.40

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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.