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Finding the Third Proportional to 140,953 and 211,497

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Solution

The third proportional to 140,953 and 211,497 is: 317,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,953 : 211,497 = 211,497 : x
  2. Step 2: Convert to fraction form
    140,953/211,497 = 211,497/x
  3. Step 3: Cross multiply
    140,953x = 211,497 × 211,497
  4. Step 4: Simplify right side
    140,953x = 44,730,981,009
  5. Step 5: Solve for x
    x = 44,730,981,009/140,953
  6. Step 6: Final answer
    x = 317,346.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.