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Finding the Third Proportional to 140,949 and 211,491

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Solution

The third proportional to 140,949 and 211,491 is: 317,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,949 : 211,491 = 211,491 : x
  2. Step 2: Convert to fraction form
    140,949/211,491 = 211,491/x
  3. Step 3: Cross multiply
    140,949x = 211,491 × 211,491
  4. Step 4: Simplify right side
    140,949x = 44,728,443,081
  5. Step 5: Solve for x
    x = 44,728,443,081/140,949
  6. Step 6: Final answer
    x = 317,337.78

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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.