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Finding the Third Proportional to 203,923 and 442,878

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Solution

The third proportional to 203,923 and 442,878 is: 961,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,923 : 442,878 = 442,878 : x
  2. Step 2: Convert to fraction form
    203,923/442,878 = 442,878/x
  3. Step 3: Cross multiply
    203,923x = 442,878 × 442,878
  4. Step 4: Simplify right side
    203,923x = 196,140,922,884
  5. Step 5: Solve for x
    x = 196,140,922,884/203,923
  6. Step 6: Final answer
    x = 961,838.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.