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Finding the Third Proportional to 200,715.75 and 275,231.25

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Solution

The third proportional to 200,715.75 and 275,231.25 is: 377,410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.75 : 275,231.25 = 275,231.25 : x
  2. Step 2: Convert to fraction form
    200,715.75/275,231.25 = 275,231.25/x
  3. Step 3: Cross multiply
    200,715.75x = 275,231.25 × 275,231.25
  4. Step 4: Simplify right side
    200,715.75x = 75,752,240,976.56
  5. Step 5: Solve for x
    x = 75,752,240,976.56/200,715.75
  6. Step 6: Final answer
    x = 377,410.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.