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Finding the Third Proportional to 204,477.75 and 419,151.38

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Solution

The third proportional to 204,477.75 and 419,151.38 is: 859,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,477.75 : 419,151.38 = 419,151.38 : x
  2. Step 2: Convert to fraction form
    204,477.75/419,151.38 = 419,151.38/x
  3. Step 3: Cross multiply
    204,477.75x = 419,151.38 × 419,151.38
  4. Step 4: Simplify right side
    204,477.75x = 175,687,875,164.39
  5. Step 5: Solve for x
    x = 175,687,875,164.39/204,477.75
  6. Step 6: Final answer
    x = 859,202.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.