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Finding the Third Proportional to 203,384.25 and 290,550.38

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Solution

The third proportional to 203,384.25 and 290,550.38 is: 415,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,384.25 : 290,550.38 = 290,550.38 : x
  2. Step 2: Convert to fraction form
    203,384.25/290,550.38 = 290,550.38/x
  3. Step 3: Cross multiply
    203,384.25x = 290,550.38 × 290,550.38
  4. Step 4: Simplify right side
    203,384.25x = 84,419,520,412.64
  5. Step 5: Solve for x
    x = 84,419,520,412.64/203,384.25
  6. Step 6: Final answer
    x = 415,074.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.