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Finding the Third Proportional to 180,864 and 275,504

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Solution

The third proportional to 180,864 and 275,504 is: 419,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864 : 275,504 = 275,504 : x
  2. Step 2: Convert to fraction form
    180,864/275,504 = 275,504/x
  3. Step 3: Cross multiply
    180,864x = 275,504 × 275,504
  4. Step 4: Simplify right side
    180,864x = 75,902,454,016
  5. Step 5: Solve for x
    x = 75,902,454,016/180,864
  6. Step 6: Final answer
    x = 419,665.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.