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Finding the Third Proportional to 801,578 and 1,278,183

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Solution

The third proportional to 801,578 and 1,278,183 is: 2,038,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,578 : 1,278,183 = 1,278,183 : x
  2. Step 2: Convert to fraction form
    801,578/1,278,183 = 1,278,183/x
  3. Step 3: Cross multiply
    801,578x = 1,278,183 × 1,278,183
  4. Step 4: Simplify right side
    801,578x = 1,633,751,781,489
  5. Step 5: Solve for x
    x = 1,633,751,781,489/801,578
  6. Step 6: Final answer
    x = 2,038,169.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.