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Finding the Third Proportional to 206,711 and 310,067

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Solution

The third proportional to 206,711 and 310,067 is: 465,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711 : 310,067 = 310,067 : x
  2. Step 2: Convert to fraction form
    206,711/310,067 = 310,067/x
  3. Step 3: Cross multiply
    206,711x = 310,067 × 310,067
  4. Step 4: Simplify right side
    206,711x = 96,141,544,489
  5. Step 5: Solve for x
    x = 96,141,544,489/206,711
  6. Step 6: Final answer
    x = 465,101.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.