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Finding the Third Proportional to 120,671 and 180,772

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Solution

The third proportional to 120,671 and 180,772 is: 270,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,671 : 180,772 = 180,772 : x
  2. Step 2: Convert to fraction form
    120,671/180,772 = 180,772/x
  3. Step 3: Cross multiply
    120,671x = 180,772 × 180,772
  4. Step 4: Simplify right side
    120,671x = 32,678,515,984
  5. Step 5: Solve for x
    x = 32,678,515,984/120,671
  6. Step 6: Final answer
    x = 270,806.71

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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.