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Finding the Third Proportional to 203,937.75 and 381,540.38

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Solution

The third proportional to 203,937.75 and 381,540.38 is: 713,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,937.75 : 381,540.38 = 381,540.38 : x
  2. Step 2: Convert to fraction form
    203,937.75/381,540.38 = 381,540.38/x
  3. Step 3: Cross multiply
    203,937.75x = 381,540.38 × 381,540.38
  4. Step 4: Simplify right side
    203,937.75x = 145,573,057,755.14
  5. Step 5: Solve for x
    x = 145,573,057,755.14/203,937.75
  6. Step 6: Final answer
    x = 713,811.24

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.