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Finding the Third Proportional to 404.53 and 872.96

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Solution

The third proportional to 404.53 and 872.96 is: 1,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.53 : 872.96 = 872.96 : x
  2. Step 2: Convert to fraction form
    404.53/872.96 = 872.96/x
  3. Step 3: Cross multiply
    404.53x = 872.96 × 872.96
  4. Step 4: Simplify right side
    404.53x = 762,067.62
  5. Step 5: Solve for x
    x = 762,067.62/404.53
  6. Step 6: Final answer
    x = 1,883.86

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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.