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Finding the Third Proportional to 109,881 and 211,008

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Solution

The third proportional to 109,881 and 211,008 is: 405,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,881 : 211,008 = 211,008 : x
  2. Step 2: Convert to fraction form
    109,881/211,008 = 211,008/x
  3. Step 3: Cross multiply
    109,881x = 211,008 × 211,008
  4. Step 4: Simplify right side
    109,881x = 44,524,376,064
  5. Step 5: Solve for x
    x = 44,524,376,064/109,881
  6. Step 6: Final answer
    x = 405,205.41

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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.