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Finding the Third Proportional to 103,682 and 140,689

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Solution

The third proportional to 103,682 and 140,689 is: 190,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 140,689 = 140,689 : x
  2. Step 2: Convert to fraction form
    103,682/140,689 = 140,689/x
  3. Step 3: Cross multiply
    103,682x = 140,689 × 140,689
  4. Step 4: Simplify right side
    103,682x = 19,793,394,721
  5. Step 5: Solve for x
    x = 19,793,394,721/103,682
  6. Step 6: Final answer
    x = 190,904.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.