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Finding the Third Proportional to 81,645 and 177,096

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Solution

The third proportional to 81,645 and 177,096 is: 384,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,645 : 177,096 = 177,096 : x
  2. Step 2: Convert to fraction form
    81,645/177,096 = 177,096/x
  3. Step 3: Cross multiply
    81,645x = 177,096 × 177,096
  4. Step 4: Simplify right side
    81,645x = 31,362,993,216
  5. Step 5: Solve for x
    x = 31,362,993,216/81,645
  6. Step 6: Final answer
    x = 384,138.57

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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.