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Finding the Third Proportional to 133,554 and 207,990

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Solution

The third proportional to 133,554 and 207,990 is: 323,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,554 : 207,990 = 207,990 : x
  2. Step 2: Convert to fraction form
    133,554/207,990 = 207,990/x
  3. Step 3: Cross multiply
    133,554x = 207,990 × 207,990
  4. Step 4: Simplify right side
    133,554x = 43,259,840,100
  5. Step 5: Solve for x
    x = 43,259,840,100/133,554
  6. Step 6: Final answer
    x = 323,912.73

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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.