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Finding the Third Proportional to 767,391.75 and 1,278,906.75

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Solution

The third proportional to 767,391.75 and 1,278,906.75 is: 2,131,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,391.75 : 1,278,906.75 = 1,278,906.75 : x
  2. Step 2: Convert to fraction form
    767,391.75/1,278,906.75 = 1,278,906.75/x
  3. Step 3: Cross multiply
    767,391.75x = 1,278,906.75 × 1,278,906.75
  4. Step 4: Simplify right side
    767,391.75x = 1,635,602,475,195.56
  5. Step 5: Solve for x
    x = 1,635,602,475,195.56/767,391.75
  6. Step 6: Final answer
    x = 2,131,378.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.