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Finding the Third Proportional to 155,512 and 220,234

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Solution

The third proportional to 155,512 and 220,234 is: 311,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,512 : 220,234 = 220,234 : x
  2. Step 2: Convert to fraction form
    155,512/220,234 = 220,234/x
  3. Step 3: Cross multiply
    155,512x = 220,234 × 220,234
  4. Step 4: Simplify right side
    155,512x = 48,503,014,756
  5. Step 5: Solve for x
    x = 48,503,014,756/155,512
  6. Step 6: Final answer
    x = 311,892.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.