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Finding the Third Proportional to 81,974 and 179,392

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Solution

The third proportional to 81,974 and 179,392 is: 392,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974 : 179,392 = 179,392 : x
  2. Step 2: Convert to fraction form
    81,974/179,392 = 179,392/x
  3. Step 3: Cross multiply
    81,974x = 179,392 × 179,392
  4. Step 4: Simplify right side
    81,974x = 32,181,489,664
  5. Step 5: Solve for x
    x = 32,181,489,664/81,974
  6. Step 6: Final answer
    x = 392,581.67

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