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Finding the Third Proportional to 120,711 and 180,255

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Solution

The third proportional to 120,711 and 180,255 is: 269,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,711 : 180,255 = 180,255 : x
  2. Step 2: Convert to fraction form
    120,711/180,255 = 180,255/x
  3. Step 3: Cross multiply
    120,711x = 180,255 × 180,255
  4. Step 4: Simplify right side
    120,711x = 32,491,865,025
  5. Step 5: Solve for x
    x = 32,491,865,025/120,711
  6. Step 6: Final answer
    x = 269,170.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.