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Finding the Third Proportional to 81,978 and 120,195

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Solution

The third proportional to 81,978 and 120,195 is: 176,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978 : 120,195 = 120,195 : x
  2. Step 2: Convert to fraction form
    81,978/120,195 = 120,195/x
  3. Step 3: Cross multiply
    81,978x = 120,195 × 120,195
  4. Step 4: Simplify right side
    81,978x = 14,446,838,025
  5. Step 5: Solve for x
    x = 14,446,838,025/81,978
  6. Step 6: Final answer
    x = 176,228.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.