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Finding the Third Proportional to 200,869 and 303,357

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Solution

The third proportional to 200,869 and 303,357 is: 458,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869 : 303,357 = 303,357 : x
  2. Step 2: Convert to fraction form
    200,869/303,357 = 303,357/x
  3. Step 3: Cross multiply
    200,869x = 303,357 × 303,357
  4. Step 4: Simplify right side
    200,869x = 92,025,469,449
  5. Step 5: Solve for x
    x = 92,025,469,449/200,869
  6. Step 6: Final answer
    x = 458,136.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.