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Finding the Third Proportional to 51,900 and 79,794

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Solution

The third proportional to 51,900 and 79,794 is: 122,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900 : 79,794 = 79,794 : x
  2. Step 2: Convert to fraction form
    51,900/79,794 = 79,794/x
  3. Step 3: Cross multiply
    51,900x = 79,794 × 79,794
  4. Step 4: Simplify right side
    51,900x = 6,367,082,436
  5. Step 5: Solve for x
    x = 6,367,082,436/51,900
  6. Step 6: Final answer
    x = 122,679.82

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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.