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Finding the Third Proportional to 138,540 and 198,120

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Solution

The third proportional to 138,540 and 198,120 is: 283,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540 : 198,120 = 198,120 : x
  2. Step 2: Convert to fraction form
    138,540/198,120 = 198,120/x
  3. Step 3: Cross multiply
    138,540x = 198,120 × 198,120
  4. Step 4: Simplify right side
    138,540x = 39,251,534,400
  5. Step 5: Solve for x
    x = 39,251,534,400/138,540
  6. Step 6: Final answer
    x = 283,322.75

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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.