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Finding the Third Proportional to 211,441.50 and 440,379

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Solution

The third proportional to 211,441.50 and 440,379 is: 917,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,441.50 : 440,379 = 440,379 : x
  2. Step 2: Convert to fraction form
    211,441.50/440,379 = 440,379/x
  3. Step 3: Cross multiply
    211,441.50x = 440,379 × 440,379
  4. Step 4: Simplify right side
    211,441.50x = 193,933,663,641
  5. Step 5: Solve for x
    x = 193,933,663,641/211,441.50
  6. Step 6: Final answer
    x = 917,197.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.