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Finding the Third Proportional to 397,293.75 and 862,314.75

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Solution

The third proportional to 397,293.75 and 862,314.75 is: 1,871,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,293.75 : 862,314.75 = 862,314.75 : x
  2. Step 2: Convert to fraction form
    397,293.75/862,314.75 = 862,314.75/x
  3. Step 3: Cross multiply
    397,293.75x = 862,314.75 × 862,314.75
  4. Step 4: Simplify right side
    397,293.75x = 743,586,728,067.56
  5. Step 5: Solve for x
    x = 743,586,728,067.56/397,293.75
  6. Step 6: Final answer
    x = 1,871,629.56

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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.