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Finding the Third Proportional to 81,738 and 175,977

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Solution

The third proportional to 81,738 and 175,977 is: 378,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,738 : 175,977 = 175,977 : x
  2. Step 2: Convert to fraction form
    81,738/175,977 = 175,977/x
  3. Step 3: Cross multiply
    81,738x = 175,977 × 175,977
  4. Step 4: Simplify right side
    81,738x = 30,967,904,529
  5. Step 5: Solve for x
    x = 30,967,904,529/81,738
  6. Step 6: Final answer
    x = 378,867.90

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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.