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Finding the Third Proportional to 126,728 and 197,100

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Solution

The third proportional to 126,728 and 197,100 is: 306,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,728 : 197,100 = 197,100 : x
  2. Step 2: Convert to fraction form
    126,728/197,100 = 197,100/x
  3. Step 3: Cross multiply
    126,728x = 197,100 × 197,100
  4. Step 4: Simplify right side
    126,728x = 38,848,410,000
  5. Step 5: Solve for x
    x = 38,848,410,000/126,728
  6. Step 6: Final answer
    x = 306,549.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.