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Finding the Third Proportional to 200,917 and 303,965

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Solution

The third proportional to 200,917 and 303,965 is: 459,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,917 : 303,965 = 303,965 : x
  2. Step 2: Convert to fraction form
    200,917/303,965 = 303,965/x
  3. Step 3: Cross multiply
    200,917x = 303,965 × 303,965
  4. Step 4: Simplify right side
    200,917x = 92,394,721,225
  5. Step 5: Solve for x
    x = 92,394,721,225/200,917
  6. Step 6: Final answer
    x = 459,865.12

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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.