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Finding the Third Proportional to 28,991 and 66,857

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Solution

The third proportional to 28,991 and 66,857 is: 154,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,991 : 66,857 = 66,857 : x
  2. Step 2: Convert to fraction form
    28,991/66,857 = 66,857/x
  3. Step 3: Cross multiply
    28,991x = 66,857 × 66,857
  4. Step 4: Simplify right side
    28,991x = 4,469,858,449
  5. Step 5: Solve for x
    x = 4,469,858,449/28,991
  6. Step 6: Final answer
    x = 154,180.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.