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Finding the Third Proportional to 220,422 and 329,778

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Solution

The third proportional to 220,422 and 329,778 is: 493,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,422 : 329,778 = 329,778 : x
  2. Step 2: Convert to fraction form
    220,422/329,778 = 329,778/x
  3. Step 3: Cross multiply
    220,422x = 329,778 × 329,778
  4. Step 4: Simplify right side
    220,422x = 108,753,529,284
  5. Step 5: Solve for x
    x = 108,753,529,284/220,422
  6. Step 6: Final answer
    x = 493,387.82

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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.