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Finding the Third Proportional to 81,832 and 178,974

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Solution

The third proportional to 81,832 and 178,974 is: 391,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,832 : 178,974 = 178,974 : x
  2. Step 2: Convert to fraction form
    81,832/178,974 = 178,974/x
  3. Step 3: Cross multiply
    81,832x = 178,974 × 178,974
  4. Step 4: Simplify right side
    81,832x = 32,031,692,676
  5. Step 5: Solve for x
    x = 32,031,692,676/81,832
  6. Step 6: Final answer
    x = 391,432.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.