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Finding the Third Proportional to 282,198 and 610,401

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Solution

The third proportional to 282,198 and 610,401 is: 1,320,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,198 : 610,401 = 610,401 : x
  2. Step 2: Convert to fraction form
    282,198/610,401 = 610,401/x
  3. Step 3: Cross multiply
    282,198x = 610,401 × 610,401
  4. Step 4: Simplify right side
    282,198x = 372,589,380,801
  5. Step 5: Solve for x
    x = 372,589,380,801/282,198
  6. Step 6: Final answer
    x = 1,320,311.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.