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Finding the Third Proportional to 273.88 and 447.13

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Solution

The third proportional to 273.88 and 447.13 is: 729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.88 : 447.13 = 447.13 : x
  2. Step 2: Convert to fraction form
    273.88/447.13 = 447.13/x
  3. Step 3: Cross multiply
    273.88x = 447.13 × 447.13
  4. Step 4: Simplify right side
    273.88x = 199,920.77
  5. Step 5: Solve for x
    x = 199,920.77/273.88
  6. Step 6: Final answer
    x = 729.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.