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Finding the Third Proportional to 100,149 and 140,868

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Solution

The third proportional to 100,149 and 140,868 is: 198,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,149 : 140,868 = 140,868 : x
  2. Step 2: Convert to fraction form
    100,149/140,868 = 140,868/x
  3. Step 3: Cross multiply
    100,149x = 140,868 × 140,868
  4. Step 4: Simplify right side
    100,149x = 19,843,793,424
  5. Step 5: Solve for x
    x = 19,843,793,424/100,149
  6. Step 6: Final answer
    x = 198,142.70

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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.