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Finding the Third Proportional to 80,120 and 119,892

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Solution

The third proportional to 80,120 and 119,892 is: 179,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120 : 119,892 = 119,892 : x
  2. Step 2: Convert to fraction form
    80,120/119,892 = 119,892/x
  3. Step 3: Cross multiply
    80,120x = 119,892 × 119,892
  4. Step 4: Simplify right side
    80,120x = 14,374,091,664
  5. Step 5: Solve for x
    x = 14,374,091,664/80,120
  6. Step 6: Final answer
    x = 179,407.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.