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Finding the Third Proportional to 126,840 and 196,311

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Solution

The third proportional to 126,840 and 196,311 is: 303,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,840 : 196,311 = 196,311 : x
  2. Step 2: Convert to fraction form
    126,840/196,311 = 196,311/x
  3. Step 3: Cross multiply
    126,840x = 196,311 × 196,311
  4. Step 4: Simplify right side
    126,840x = 38,538,008,721
  5. Step 5: Solve for x
    x = 38,538,008,721/126,840
  6. Step 6: Final answer
    x = 303,831.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.