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Finding the Third Proportional to 143,367 and 221,067

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Solution

The third proportional to 143,367 and 221,067 is: 340,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,367 : 221,067 = 221,067 : x
  2. Step 2: Convert to fraction form
    143,367/221,067 = 221,067/x
  3. Step 3: Cross multiply
    143,367x = 221,067 × 221,067
  4. Step 4: Simplify right side
    143,367x = 48,870,618,489
  5. Step 5: Solve for x
    x = 48,870,618,489/143,367
  6. Step 6: Final answer
    x = 340,877.74

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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.