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Finding the Third Proportional to 126,384 and 189,900

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Solution

The third proportional to 126,384 and 189,900 is: 285,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,384 : 189,900 = 189,900 : x
  2. Step 2: Convert to fraction form
    126,384/189,900 = 189,900/x
  3. Step 3: Cross multiply
    126,384x = 189,900 × 189,900
  4. Step 4: Simplify right side
    126,384x = 36,062,010,000
  5. Step 5: Solve for x
    x = 36,062,010,000/126,384
  6. Step 6: Final answer
    x = 285,336.83

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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.