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Finding the Third Proportional to 324.07 and 676.83

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Solution

The third proportional to 324.07 and 676.83 is: 1,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.07 : 676.83 = 676.83 : x
  2. Step 2: Convert to fraction form
    324.07/676.83 = 676.83/x
  3. Step 3: Cross multiply
    324.07x = 676.83 × 676.83
  4. Step 4: Simplify right side
    324.07x = 458,096.31
  5. Step 5: Solve for x
    x = 458,096.31/324.07
  6. Step 6: Final answer
    x = 1,413.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.