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Finding the Third Proportional to 80,138 and 120,219

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Solution

The third proportional to 80,138 and 120,219 is: 180,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138 : 120,219 = 120,219 : x
  2. Step 2: Convert to fraction form
    80,138/120,219 = 120,219/x
  3. Step 3: Cross multiply
    80,138x = 120,219 × 120,219
  4. Step 4: Simplify right side
    80,138x = 14,452,607,961
  5. Step 5: Solve for x
    x = 14,452,607,961/80,138
  6. Step 6: Final answer
    x = 180,346.50

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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.