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Finding the Third Proportional to 85,831 and 186,912

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Solution

The third proportional to 85,831 and 186,912 is: 407,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,831 : 186,912 = 186,912 : x
  2. Step 2: Convert to fraction form
    85,831/186,912 = 186,912/x
  3. Step 3: Cross multiply
    85,831x = 186,912 × 186,912
  4. Step 4: Simplify right side
    85,831x = 34,936,095,744
  5. Step 5: Solve for x
    x = 34,936,095,744/85,831
  6. Step 6: Final answer
    x = 407,033.54

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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.