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Finding the Third Proportional to 218,420 and 329,169

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Solution

The third proportional to 218,420 and 329,169 is: 496,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,420 : 329,169 = 329,169 : x
  2. Step 2: Convert to fraction form
    218,420/329,169 = 329,169/x
  3. Step 3: Cross multiply
    218,420x = 329,169 × 329,169
  4. Step 4: Simplify right side
    218,420x = 108,352,230,561
  5. Step 5: Solve for x
    x = 108,352,230,561/218,420
  6. Step 6: Final answer
    x = 496,072.84

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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.