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Finding the Third Proportional to 120,791 and 256,198

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Solution

The third proportional to 120,791 and 256,198 is: 543,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,791 : 256,198 = 256,198 : x
  2. Step 2: Convert to fraction form
    120,791/256,198 = 256,198/x
  3. Step 3: Cross multiply
    120,791x = 256,198 × 256,198
  4. Step 4: Simplify right side
    120,791x = 65,637,415,204
  5. Step 5: Solve for x
    x = 65,637,415,204/120,791
  6. Step 6: Final answer
    x = 543,396.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.