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Finding the Third Proportional to 179,920 and 268,902

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Solution

The third proportional to 179,920 and 268,902 is: 401,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,920 : 268,902 = 268,902 : x
  2. Step 2: Convert to fraction form
    179,920/268,902 = 268,902/x
  3. Step 3: Cross multiply
    179,920x = 268,902 × 268,902
  4. Step 4: Simplify right side
    179,920x = 72,308,285,604
  5. Step 5: Solve for x
    x = 72,308,285,604/179,920
  6. Step 6: Final answer
    x = 401,891.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.