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Finding the Third Proportional to 122.91 and 324.14

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Solution

The third proportional to 122.91 and 324.14 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 324.14 = 324.14 : x
  2. Step 2: Convert to fraction form
    122.91/324.14 = 324.14/x
  3. Step 3: Cross multiply
    122.91x = 324.14 × 324.14
  4. Step 4: Simplify right side
    122.91x = 105,067.14
  5. Step 5: Solve for x
    x = 105,067.14/122.91
  6. Step 6: Final answer
    x = 854.86

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.