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Finding the Third Proportional to 203,920 and 311,064

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Solution

The third proportional to 203,920 and 311,064 is: 474,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920 : 311,064 = 311,064 : x
  2. Step 2: Convert to fraction form
    203,920/311,064 = 311,064/x
  3. Step 3: Cross multiply
    203,920x = 311,064 × 311,064
  4. Step 4: Simplify right side
    203,920x = 96,760,812,096
  5. Step 5: Solve for x
    x = 96,760,812,096/203,920
  6. Step 6: Final answer
    x = 474,503.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.