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Finding the Third Proportional to 281.19 and 603.81

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Solution

The third proportional to 281.19 and 603.81 is: 1,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.19 : 603.81 = 603.81 : x
  2. Step 2: Convert to fraction form
    281.19/603.81 = 603.81/x
  3. Step 3: Cross multiply
    281.19x = 603.81 × 603.81
  4. Step 4: Simplify right side
    281.19x = 364,589.54
  5. Step 5: Solve for x
    x = 364,589.54/281.19
  6. Step 6: Final answer
    x = 1,296.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.