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Finding the Third Proportional to 138,384 and 197,208

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Solution

The third proportional to 138,384 and 197,208 is: 281,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384 : 197,208 = 197,208 : x
  2. Step 2: Convert to fraction form
    138,384/197,208 = 197,208/x
  3. Step 3: Cross multiply
    138,384x = 197,208 × 197,208
  4. Step 4: Simplify right side
    138,384x = 38,890,995,264
  5. Step 5: Solve for x
    x = 38,890,995,264/138,384
  6. Step 6: Final answer
    x = 281,036.79

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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.