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Finding the Third Proportional to 324.75 and 693.38

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Solution

The third proportional to 324.75 and 693.38 is: 1,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 693.38 = 693.38 : x
  2. Step 2: Convert to fraction form
    324.75/693.38 = 693.38/x
  3. Step 3: Cross multiply
    324.75x = 693.38 × 693.38
  4. Step 4: Simplify right side
    324.75x = 480,768.89
  5. Step 5: Solve for x
    x = 480,768.89/324.75
  6. Step 6: Final answer
    x = 1,480.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.