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Finding the Third Proportional to 109,998 and 211,247

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Solution

The third proportional to 109,998 and 211,247 is: 405,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,998 : 211,247 = 211,247 : x
  2. Step 2: Convert to fraction form
    109,998/211,247 = 211,247/x
  3. Step 3: Cross multiply
    109,998x = 211,247 × 211,247
  4. Step 4: Simplify right side
    109,998x = 44,625,295,009
  5. Step 5: Solve for x
    x = 44,625,295,009/109,998
  6. Step 6: Final answer
    x = 405,691.88

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.