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Finding the Third Proportional to 85,867 and 186,512

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Solution

The third proportional to 85,867 and 186,512 is: 405,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,867 : 186,512 = 186,512 : x
  2. Step 2: Convert to fraction form
    85,867/186,512 = 186,512/x
  3. Step 3: Cross multiply
    85,867x = 186,512 × 186,512
  4. Step 4: Simplify right side
    85,867x = 34,786,726,144
  5. Step 5: Solve for x
    x = 34,786,726,144/85,867
  6. Step 6: Final answer
    x = 405,123.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.