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Finding the Third Proportional to 138,420 and 197,939

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Solution

The third proportional to 138,420 and 197,939 is: 283,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420 : 197,939 = 197,939 : x
  2. Step 2: Convert to fraction form
    138,420/197,939 = 197,939/x
  3. Step 3: Cross multiply
    138,420x = 197,939 × 197,939
  4. Step 4: Simplify right side
    138,420x = 39,179,847,721
  5. Step 5: Solve for x
    x = 39,179,847,721/138,420
  6. Step 6: Final answer
    x = 283,050.48

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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.