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Finding the Third Proportional to 126,872 and 197,571

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Solution

The third proportional to 126,872 and 197,571 is: 307,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,872 : 197,571 = 197,571 : x
  2. Step 2: Convert to fraction form
    126,872/197,571 = 197,571/x
  3. Step 3: Cross multiply
    126,872x = 197,571 × 197,571
  4. Step 4: Simplify right side
    126,872x = 39,034,300,041
  5. Step 5: Solve for x
    x = 39,034,300,041/126,872
  6. Step 6: Final answer
    x = 307,666.78

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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.