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Finding the Third Proportional to 138,560 and 198,144

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Solution

The third proportional to 138,560 and 198,144 is: 283,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560 : 198,144 = 198,144 : x
  2. Step 2: Convert to fraction form
    138,560/198,144 = 198,144/x
  3. Step 3: Cross multiply
    138,560x = 198,144 × 198,144
  4. Step 4: Simplify right side
    138,560x = 39,261,044,736
  5. Step 5: Solve for x
    x = 39,261,044,736/138,560
  6. Step 6: Final answer
    x = 283,350.50

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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.