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Finding the Third Proportional to 141,228 and 204,042

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Solution

The third proportional to 141,228 and 204,042 is: 294,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,228 : 204,042 = 204,042 : x
  2. Step 2: Convert to fraction form
    141,228/204,042 = 204,042/x
  3. Step 3: Cross multiply
    141,228x = 204,042 × 204,042
  4. Step 4: Simplify right side
    141,228x = 41,633,137,764
  5. Step 5: Solve for x
    x = 41,633,137,764/141,228
  6. Step 6: Final answer
    x = 294,793.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.