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Finding the Third Proportional to 126,396 and 189,918

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Solution

The third proportional to 126,396 and 189,918 is: 285,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,396 : 189,918 = 189,918 : x
  2. Step 2: Convert to fraction form
    126,396/189,918 = 189,918/x
  3. Step 3: Cross multiply
    126,396x = 189,918 × 189,918
  4. Step 4: Simplify right side
    126,396x = 36,068,846,724
  5. Step 5: Solve for x
    x = 36,068,846,724/126,396
  6. Step 6: Final answer
    x = 285,363.83

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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.