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Finding the Third Proportional to 140,756 and 218,276

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Solution

The third proportional to 140,756 and 218,276 is: 338,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,756 : 218,276 = 218,276 : x
  2. Step 2: Convert to fraction form
    140,756/218,276 = 218,276/x
  3. Step 3: Cross multiply
    140,756x = 218,276 × 218,276
  4. Step 4: Simplify right side
    140,756x = 47,644,412,176
  5. Step 5: Solve for x
    x = 47,644,412,176/140,756
  6. Step 6: Final answer
    x = 338,489.39

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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.