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Finding the Third Proportional to 51,236 and 79,126

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Solution

The third proportional to 51,236 and 79,126 is: 122,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236 : 79,126 = 79,126 : x
  2. Step 2: Convert to fraction form
    51,236/79,126 = 79,126/x
  3. Step 3: Cross multiply
    51,236x = 79,126 × 79,126
  4. Step 4: Simplify right side
    51,236x = 6,260,923,876
  5. Step 5: Solve for x
    x = 6,260,923,876/51,236
  6. Step 6: Final answer
    x = 122,197.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.