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Finding the Third Proportional to 122,020 and 285,067

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Solution

The third proportional to 122,020 and 285,067 is: 665,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,020 : 285,067 = 285,067 : x
  2. Step 2: Convert to fraction form
    122,020/285,067 = 285,067/x
  3. Step 3: Cross multiply
    122,020x = 285,067 × 285,067
  4. Step 4: Simplify right side
    122,020x = 81,263,194,489
  5. Step 5: Solve for x
    x = 81,263,194,489/122,020
  6. Step 6: Final answer
    x = 665,982.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.