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Finding the Third Proportional to 197,938 and 426,493

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Solution

The third proportional to 197,938 and 426,493 is: 918,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,938 : 426,493 = 426,493 : x
  2. Step 2: Convert to fraction form
    197,938/426,493 = 426,493/x
  3. Step 3: Cross multiply
    197,938x = 426,493 × 426,493
  4. Step 4: Simplify right side
    197,938x = 181,896,279,049
  5. Step 5: Solve for x
    x = 181,896,279,049/197,938
  6. Step 6: Final answer
    x = 918,955.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.