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Finding the Third Proportional to 139,932 and 211,067

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Solution

The third proportional to 139,932 and 211,067 is: 318,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,932 : 211,067 = 211,067 : x
  2. Step 2: Convert to fraction form
    139,932/211,067 = 211,067/x
  3. Step 3: Cross multiply
    139,932x = 211,067 × 211,067
  4. Step 4: Simplify right side
    139,932x = 44,549,278,489
  5. Step 5: Solve for x
    x = 44,549,278,489/139,932
  6. Step 6: Final answer
    x = 318,363.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.