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Finding the Third Proportional to 133,816 and 290,744

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Solution

The third proportional to 133,816 and 290,744 is: 631,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816 : 290,744 = 290,744 : x
  2. Step 2: Convert to fraction form
    133,816/290,744 = 290,744/x
  3. Step 3: Cross multiply
    133,816x = 290,744 × 290,744
  4. Step 4: Simplify right side
    133,816x = 84,532,073,536
  5. Step 5: Solve for x
    x = 84,532,073,536/133,816
  6. Step 6: Final answer
    x = 631,703.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.