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Finding the Third Proportional to 51,816 and 79,227

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Solution

The third proportional to 51,816 and 79,227 is: 121,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816 : 79,227 = 79,227 : x
  2. Step 2: Convert to fraction form
    51,816/79,227 = 79,227/x
  3. Step 3: Cross multiply
    51,816x = 79,227 × 79,227
  4. Step 4: Simplify right side
    51,816x = 6,276,917,529
  5. Step 5: Solve for x
    x = 6,276,917,529/51,816
  6. Step 6: Final answer
    x = 121,138.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.