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Finding the Third Proportional to 122,819 and 220,366

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Solution

The third proportional to 122,819 and 220,366 is: 395,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,819 : 220,366 = 220,366 : x
  2. Step 2: Convert to fraction form
    122,819/220,366 = 220,366/x
  3. Step 3: Cross multiply
    122,819x = 220,366 × 220,366
  4. Step 4: Simplify right side
    122,819x = 48,561,173,956
  5. Step 5: Solve for x
    x = 48,561,173,956/122,819
  6. Step 6: Final answer
    x = 395,388.12

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.