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Finding the Third Proportional to 218,436 and 329,190

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Solution

The third proportional to 218,436 and 329,190 is: 496,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,436 : 329,190 = 329,190 : x
  2. Step 2: Convert to fraction form
    218,436/329,190 = 329,190/x
  3. Step 3: Cross multiply
    218,436x = 329,190 × 329,190
  4. Step 4: Simplify right side
    218,436x = 108,366,056,100
  5. Step 5: Solve for x
    x = 108,366,056,100/218,436
  6. Step 6: Final answer
    x = 496,099.80

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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.