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Finding the Third Proportional to 84,566 and 184,198

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Solution

The third proportional to 84,566 and 184,198 is: 401,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,566 : 184,198 = 184,198 : x
  2. Step 2: Convert to fraction form
    84,566/184,198 = 184,198/x
  3. Step 3: Cross multiply
    84,566x = 184,198 × 184,198
  4. Step 4: Simplify right side
    84,566x = 33,928,903,204
  5. Step 5: Solve for x
    x = 33,928,903,204/84,566
  6. Step 6: Final answer
    x = 401,212.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.