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Finding the Third Proportional to 81,812 and 177,286

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Solution

The third proportional to 81,812 and 177,286 is: 384,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812 : 177,286 = 177,286 : x
  2. Step 2: Convert to fraction form
    81,812/177,286 = 177,286/x
  3. Step 3: Cross multiply
    81,812x = 177,286 × 177,286
  4. Step 4: Simplify right side
    81,812x = 31,430,325,796
  5. Step 5: Solve for x
    x = 31,430,325,796/81,812
  6. Step 6: Final answer
    x = 384,177.45

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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.