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Finding the Third Proportional to 133,998 and 208,375

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Solution

The third proportional to 133,998 and 208,375 is: 324,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,998 : 208,375 = 208,375 : x
  2. Step 2: Convert to fraction form
    133,998/208,375 = 208,375/x
  3. Step 3: Cross multiply
    133,998x = 208,375 × 208,375
  4. Step 4: Simplify right side
    133,998x = 43,420,140,625
  5. Step 5: Solve for x
    x = 43,420,140,625/133,998
  6. Step 6: Final answer
    x = 324,035.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.