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Finding the Third Proportional to 281.12 and 583.86

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Solution

The third proportional to 281.12 and 583.86 is: 1,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 583.86 = 583.86 : x
  2. Step 2: Convert to fraction form
    281.12/583.86 = 583.86/x
  3. Step 3: Cross multiply
    281.12x = 583.86 × 583.86
  4. Step 4: Simplify right side
    281.12x = 340,890.77
  5. Step 5: Solve for x
    x = 340,890.77/281.12
  6. Step 6: Final answer
    x = 1,212.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.