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Finding the Third Proportional to 133,741 and 207,753

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Solution

The third proportional to 133,741 and 207,753 is: 322,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,741 : 207,753 = 207,753 : x
  2. Step 2: Convert to fraction form
    133,741/207,753 = 207,753/x
  3. Step 3: Cross multiply
    133,741x = 207,753 × 207,753
  4. Step 4: Simplify right side
    133,741x = 43,161,309,009
  5. Step 5: Solve for x
    x = 43,161,309,009/133,741
  6. Step 6: Final answer
    x = 322,723.09

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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.