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Finding the Third Proportional to 140,782 and 218,171

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Solution

The third proportional to 140,782 and 218,171 is: 338,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,782 : 218,171 = 218,171 : x
  2. Step 2: Convert to fraction form
    140,782/218,171 = 218,171/x
  3. Step 3: Cross multiply
    140,782x = 218,171 × 218,171
  4. Step 4: Simplify right side
    140,782x = 47,598,585,241
  5. Step 5: Solve for x
    x = 47,598,585,241/140,782
  6. Step 6: Final answer
    x = 338,101.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.