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Finding the Third Proportional to 433,876 and 940,744

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Solution

The third proportional to 433,876 and 940,744 is: 2,039,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,876 : 940,744 = 940,744 : x
  2. Step 2: Convert to fraction form
    433,876/940,744 = 940,744/x
  3. Step 3: Cross multiply
    433,876x = 940,744 × 940,744
  4. Step 4: Simplify right side
    433,876x = 884,999,273,536
  5. Step 5: Solve for x
    x = 884,999,273,536/433,876
  6. Step 6: Final answer
    x = 2,039,751.62

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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.