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Finding the Third Proportional to 79,868 and 189,923

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Solution

The third proportional to 79,868 and 189,923 is: 451,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,868 : 189,923 = 189,923 : x
  2. Step 2: Convert to fraction form
    79,868/189,923 = 189,923/x
  3. Step 3: Cross multiply
    79,868x = 189,923 × 189,923
  4. Step 4: Simplify right side
    79,868x = 36,070,745,929
  5. Step 5: Solve for x
    x = 36,070,745,929/79,868
  6. Step 6: Final answer
    x = 451,629.51

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.