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Finding the Third Proportional to 218,469 and 329,244

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Solution

The third proportional to 218,469 and 329,244 is: 496,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,469 : 329,244 = 329,244 : x
  2. Step 2: Convert to fraction form
    218,469/329,244 = 329,244/x
  3. Step 3: Cross multiply
    218,469x = 329,244 × 329,244
  4. Step 4: Simplify right side
    218,469x = 108,401,611,536
  5. Step 5: Solve for x
    x = 108,401,611,536/218,469
  6. Step 6: Final answer
    x = 496,187.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.