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Finding the Third Proportional to 77,267 and 178,874

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Solution

The third proportional to 77,267 and 178,874 is: 414,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267 : 178,874 = 178,874 : x
  2. Step 2: Convert to fraction form
    77,267/178,874 = 178,874/x
  3. Step 3: Cross multiply
    77,267x = 178,874 × 178,874
  4. Step 4: Simplify right side
    77,267x = 31,995,907,876
  5. Step 5: Solve for x
    x = 31,995,907,876/77,267
  6. Step 6: Final answer
    x = 414,095.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.