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Finding the Third Proportional to 200,709.75 and 275,217

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Solution

The third proportional to 200,709.75 and 275,217 is: 377,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709.75 : 275,217 = 275,217 : x
  2. Step 2: Convert to fraction form
    200,709.75/275,217 = 275,217/x
  3. Step 3: Cross multiply
    200,709.75x = 275,217 × 275,217
  4. Step 4: Simplify right side
    200,709.75x = 75,744,397,089
  5. Step 5: Solve for x
    x = 75,744,397,089/200,709.75
  6. Step 6: Final answer
    x = 377,382.75

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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.