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Finding the Third Proportional to 683.86 and 1,449.56

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Solution

The third proportional to 683.86 and 1,449.56 is: 3,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,449.56 = 1,449.56 : x
  2. Step 2: Convert to fraction form
    683.86/1,449.56 = 1,449.56/x
  3. Step 3: Cross multiply
    683.86x = 1,449.56 × 1,449.56
  4. Step 4: Simplify right side
    683.86x = 2,101,231.44
  5. Step 5: Solve for x
    x = 2,101,231.44/683.86
  6. Step 6: Final answer
    x = 3,072.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.