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Finding the Third Proportional to 82,617 and 177,227

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Solution

The third proportional to 82,617 and 177,227 is: 380,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617 : 177,227 = 177,227 : x
  2. Step 2: Convert to fraction form
    82,617/177,227 = 177,227/x
  3. Step 3: Cross multiply
    82,617x = 177,227 × 177,227
  4. Step 4: Simplify right side
    82,617x = 31,409,409,529
  5. Step 5: Solve for x
    x = 31,409,409,529/82,617
  6. Step 6: Final answer
    x = 380,180.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.