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Finding the Third Proportional to 81,892 and 177,608

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Solution

The third proportional to 81,892 and 177,608 is: 385,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892 : 177,608 = 177,608 : x
  2. Step 2: Convert to fraction form
    81,892/177,608 = 177,608/x
  3. Step 3: Cross multiply
    81,892x = 177,608 × 177,608
  4. Step 4: Simplify right side
    81,892x = 31,544,601,664
  5. Step 5: Solve for x
    x = 31,544,601,664/81,892
  6. Step 6: Final answer
    x = 385,197.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.