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Finding the Third Proportional to 203,107.50 and 315,906.75

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Solution

The third proportional to 203,107.50 and 315,906.75 is: 491,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,107.50 : 315,906.75 = 315,906.75 : x
  2. Step 2: Convert to fraction form
    203,107.50/315,906.75 = 315,906.75/x
  3. Step 3: Cross multiply
    203,107.50x = 315,906.75 × 315,906.75
  4. Step 4: Simplify right side
    203,107.50x = 99,797,074,695.56
  5. Step 5: Solve for x
    x = 99,797,074,695.56/203,107.50
  6. Step 6: Final answer
    x = 491,351.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.