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Finding the Third Proportional to 109,921 and 164,809

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Solution

The third proportional to 109,921 and 164,809 is: 247,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,921 : 164,809 = 164,809 : x
  2. Step 2: Convert to fraction form
    109,921/164,809 = 164,809/x
  3. Step 3: Cross multiply
    109,921x = 164,809 × 164,809
  4. Step 4: Simplify right side
    109,921x = 27,162,006,481
  5. Step 5: Solve for x
    x = 27,162,006,481/109,921
  6. Step 6: Final answer
    x = 247,104.80

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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.