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Finding the Third Proportional to 140,682 and 198,114

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Solution

The third proportional to 140,682 and 198,114 is: 278,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,682 : 198,114 = 198,114 : x
  2. Step 2: Convert to fraction form
    140,682/198,114 = 198,114/x
  3. Step 3: Cross multiply
    140,682x = 198,114 × 198,114
  4. Step 4: Simplify right side
    140,682x = 39,249,156,996
  5. Step 5: Solve for x
    x = 39,249,156,996/140,682
  6. Step 6: Final answer
    x = 278,992.03

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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.