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Finding the Third Proportional to 133,096 and 206,425

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Solution

The third proportional to 133,096 and 206,425 is: 320,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 206,425 = 206,425 : x
  2. Step 2: Convert to fraction form
    133,096/206,425 = 206,425/x
  3. Step 3: Cross multiply
    133,096x = 206,425 × 206,425
  4. Step 4: Simplify right side
    133,096x = 42,611,280,625
  5. Step 5: Solve for x
    x = 42,611,280,625/133,096
  6. Step 6: Final answer
    x = 320,154.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.