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Finding the Third Proportional to 342,857 and 522,991

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Solution

The third proportional to 342,857 and 522,991 is: 797,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,857 : 522,991 = 522,991 : x
  2. Step 2: Convert to fraction form
    342,857/522,991 = 522,991/x
  3. Step 3: Cross multiply
    342,857x = 522,991 × 522,991
  4. Step 4: Simplify right side
    342,857x = 273,519,586,081
  5. Step 5: Solve for x
    x = 273,519,586,081/342,857
  6. Step 6: Final answer
    x = 797,765.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.