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Finding the Third Proportional to 101,809 and 219,393

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Solution

The third proportional to 101,809 and 219,393 is: 472,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,809 : 219,393 = 219,393 : x
  2. Step 2: Convert to fraction form
    101,809/219,393 = 219,393/x
  3. Step 3: Cross multiply
    101,809x = 219,393 × 219,393
  4. Step 4: Simplify right side
    101,809x = 48,133,288,449
  5. Step 5: Solve for x
    x = 48,133,288,449/101,809
  6. Step 6: Final answer
    x = 472,780.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.