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Finding the Third Proportional to 120,436.88 and 180,353.25

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Solution

The third proportional to 120,436.88 and 180,353.25 is: 270,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,436.88 : 180,353.25 = 180,353.25 : x
  2. Step 2: Convert to fraction form
    120,436.88/180,353.25 = 180,353.25/x
  3. Step 3: Cross multiply
    120,436.88x = 180,353.25 × 180,353.25
  4. Step 4: Simplify right side
    120,436.88x = 32,527,294,785.56
  5. Step 5: Solve for x
    x = 32,527,294,785.56/120,436.88
  6. Step 6: Final answer
    x = 270,077.54

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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.