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Finding the Third Proportional to 71,067 and 118,439

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Solution

The third proportional to 71,067 and 118,439 is: 197,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067 : 118,439 = 118,439 : x
  2. Step 2: Convert to fraction form
    71,067/118,439 = 118,439/x
  3. Step 3: Cross multiply
    71,067x = 118,439 × 118,439
  4. Step 4: Simplify right side
    71,067x = 14,027,796,721
  5. Step 5: Solve for x
    x = 14,027,796,721/71,067
  6. Step 6: Final answer
    x = 197,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.