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Finding the Third Proportional to 140,448 and 198,729

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Solution

The third proportional to 140,448 and 198,729 is: 281,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,448 : 198,729 = 198,729 : x
  2. Step 2: Convert to fraction form
    140,448/198,729 = 198,729/x
  3. Step 3: Cross multiply
    140,448x = 198,729 × 198,729
  4. Step 4: Simplify right side
    140,448x = 39,493,215,441
  5. Step 5: Solve for x
    x = 39,493,215,441/140,448
  6. Step 6: Final answer
    x = 281,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.