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Finding the Third Proportional to 138,422 and 197,942

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Solution

The third proportional to 138,422 and 197,942 is: 283,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,422 : 197,942 = 197,942 : x
  2. Step 2: Convert to fraction form
    138,422/197,942 = 197,942/x
  3. Step 3: Cross multiply
    138,422x = 197,942 × 197,942
  4. Step 4: Simplify right side
    138,422x = 39,181,035,364
  5. Step 5: Solve for x
    x = 39,181,035,364/138,422
  6. Step 6: Final answer
    x = 283,054.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.