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Finding the Third Proportional to 81,138 and 177,546

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Solution

The third proportional to 81,138 and 177,546 is: 388,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 177,546 = 177,546 : x
  2. Step 2: Convert to fraction form
    81,138/177,546 = 177,546/x
  3. Step 3: Cross multiply
    81,138x = 177,546 × 177,546
  4. Step 4: Simplify right side
    81,138x = 31,522,582,116
  5. Step 5: Solve for x
    x = 31,522,582,116/81,138
  6. Step 6: Final answer
    x = 388,505.78

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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.