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Finding the Third Proportional to 324.13 and 699.38

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Solution

The third proportional to 324.13 and 699.38 is: 1,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.13 : 699.38 = 699.38 : x
  2. Step 2: Convert to fraction form
    324.13/699.38 = 699.38/x
  3. Step 3: Cross multiply
    324.13x = 699.38 × 699.38
  4. Step 4: Simplify right side
    324.13x = 489,125.39
  5. Step 5: Solve for x
    x = 489,125.39/324.13
  6. Step 6: Final answer
    x = 1,509.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.