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Finding the Third Proportional to 215,842 and 327,651

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Solution

The third proportional to 215,842 and 327,651 is: 497,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,842 : 327,651 = 327,651 : x
  2. Step 2: Convert to fraction form
    215,842/327,651 = 327,651/x
  3. Step 3: Cross multiply
    215,842x = 327,651 × 327,651
  4. Step 4: Simplify right side
    215,842x = 107,355,177,801
  5. Step 5: Solve for x
    x = 107,355,177,801/215,842
  6. Step 6: Final answer
    x = 497,378.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.