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Finding the Third Proportional to 81,842 and 120,171

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Solution

The third proportional to 81,842 and 120,171 is: 176,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842 : 120,171 = 120,171 : x
  2. Step 2: Convert to fraction form
    81,842/120,171 = 120,171/x
  3. Step 3: Cross multiply
    81,842x = 120,171 × 120,171
  4. Step 4: Simplify right side
    81,842x = 14,441,069,241
  5. Step 5: Solve for x
    x = 14,441,069,241/81,842
  6. Step 6: Final answer
    x = 176,450.59

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Why These Related Problems?

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