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Finding the Third Proportional to 95,531.25 and 202,440.75

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Solution

The third proportional to 95,531.25 and 202,440.75 is: 428,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,531.25 : 202,440.75 = 202,440.75 : x
  2. Step 2: Convert to fraction form
    95,531.25/202,440.75 = 202,440.75/x
  3. Step 3: Cross multiply
    95,531.25x = 202,440.75 × 202,440.75
  4. Step 4: Simplify right side
    95,531.25x = 40,982,257,260.56
  5. Step 5: Solve for x
    x = 40,982,257,260.56/95,531.25
  6. Step 6: Final answer
    x = 428,993.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.