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Finding the Third Proportional to 84,228 and 126,212

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Solution

The third proportional to 84,228 and 126,212 is: 189,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228 : 126,212 = 126,212 : x
  2. Step 2: Convert to fraction form
    84,228/126,212 = 126,212/x
  3. Step 3: Cross multiply
    84,228x = 126,212 × 126,212
  4. Step 4: Simplify right side
    84,228x = 15,929,468,944
  5. Step 5: Solve for x
    x = 15,929,468,944/84,228
  6. Step 6: Final answer
    x = 189,123.20

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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.