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Finding the Third Proportional to 449.75 and 494.75

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Solution

The third proportional to 449.75 and 494.75 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 494.75 = 494.75 : x
  2. Step 2: Convert to fraction form
    449.75/494.75 = 494.75/x
  3. Step 3: Cross multiply
    449.75x = 494.75 × 494.75
  4. Step 4: Simplify right side
    449.75x = 244,777.56
  5. Step 5: Solve for x
    x = 244,777.56/449.75
  6. Step 6: Final answer
    x = 544.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.