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Finding the Third Proportional to 51,777 and 106,857

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Solution

The third proportional to 51,777 and 106,857 is: 220,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777 : 106,857 = 106,857 : x
  2. Step 2: Convert to fraction form
    51,777/106,857 = 106,857/x
  3. Step 3: Cross multiply
    51,777x = 106,857 × 106,857
  4. Step 4: Simplify right side
    51,777x = 11,418,418,449
  5. Step 5: Solve for x
    x = 11,418,418,449/51,777
  6. Step 6: Final answer
    x = 220,530.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.