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Finding the Third Proportional to 200,688 and 275,198

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Solution

The third proportional to 200,688 and 275,198 is: 377,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,688 : 275,198 = 275,198 : x
  2. Step 2: Convert to fraction form
    200,688/275,198 = 275,198/x
  3. Step 3: Cross multiply
    200,688x = 275,198 × 275,198
  4. Step 4: Simplify right side
    200,688x = 75,733,939,204
  5. Step 5: Solve for x
    x = 75,733,939,204/200,688
  6. Step 6: Final answer
    x = 377,371.54

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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.