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Finding the Third Proportional to 281.81 and 447.19

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Solution

The third proportional to 281.81 and 447.19 is: 709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 447.19 = 447.19 : x
  2. Step 2: Convert to fraction form
    281.81/447.19 = 447.19/x
  3. Step 3: Cross multiply
    281.81x = 447.19 × 447.19
  4. Step 4: Simplify right side
    281.81x = 199,976.66
  5. Step 5: Solve for x
    x = 199,976.66/281.81
  6. Step 6: Final answer
    x = 709.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.