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Finding the Third Proportional to 81,096 and 177,738

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Solution

The third proportional to 81,096 and 177,738 is: 389,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,096 : 177,738 = 177,738 : x
  2. Step 2: Convert to fraction form
    81,096/177,738 = 177,738/x
  3. Step 3: Cross multiply
    81,096x = 177,738 × 177,738
  4. Step 4: Simplify right side
    81,096x = 31,590,796,644
  5. Step 5: Solve for x
    x = 31,590,796,644/81,096
  6. Step 6: Final answer
    x = 389,548.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.