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Finding the Third Proportional to 138,198 and 285,120

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Solution

The third proportional to 138,198 and 285,120 is: 588,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,198 : 285,120 = 285,120 : x
  2. Step 2: Convert to fraction form
    138,198/285,120 = 285,120/x
  3. Step 3: Cross multiply
    138,198x = 285,120 × 285,120
  4. Step 4: Simplify right side
    138,198x = 81,293,414,400
  5. Step 5: Solve for x
    x = 81,293,414,400/138,198
  6. Step 6: Final answer
    x = 588,238.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.