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Finding the Third Proportional to 327,221 and 684,086

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Solution

The third proportional to 327,221 and 684,086 is: 1,430,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,221 : 684,086 = 684,086 : x
  2. Step 2: Convert to fraction form
    327,221/684,086 = 684,086/x
  3. Step 3: Cross multiply
    327,221x = 684,086 × 684,086
  4. Step 4: Simplify right side
    327,221x = 467,973,655,396
  5. Step 5: Solve for x
    x = 467,973,655,396/327,221
  6. Step 6: Final answer
    x = 1,430,145.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.