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Finding the Third Proportional to 218,608 and 329,920

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Solution

The third proportional to 218,608 and 329,920 is: 497,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,608 : 329,920 = 329,920 : x
  2. Step 2: Convert to fraction form
    218,608/329,920 = 329,920/x
  3. Step 3: Cross multiply
    218,608x = 329,920 × 329,920
  4. Step 4: Simplify right side
    218,608x = 108,847,206,400
  5. Step 5: Solve for x
    x = 108,847,206,400/218,608
  6. Step 6: Final answer
    x = 497,910.44

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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.