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Finding the Third Proportional to 131,231.25 and 203,589

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Solution

The third proportional to 131,231.25 and 203,589 is: 315,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,231.25 : 203,589 = 203,589 : x
  2. Step 2: Convert to fraction form
    131,231.25/203,589 = 203,589/x
  3. Step 3: Cross multiply
    131,231.25x = 203,589 × 203,589
  4. Step 4: Simplify right side
    131,231.25x = 41,448,480,921
  5. Step 5: Solve for x
    x = 41,448,480,921/131,231.25
  6. Step 6: Final answer
    x = 315,843.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.