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Finding the Third Proportional to 140,443 and 198,723

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Solution

The third proportional to 140,443 and 198,723 is: 281,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,443 : 198,723 = 198,723 : x
  2. Step 2: Convert to fraction form
    140,443/198,723 = 198,723/x
  3. Step 3: Cross multiply
    140,443x = 198,723 × 198,723
  4. Step 4: Simplify right side
    140,443x = 39,490,830,729
  5. Step 5: Solve for x
    x = 39,490,830,729/140,443
  6. Step 6: Final answer
    x = 281,187.60

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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.