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Finding the Third Proportional to 218,594 and 327,891

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Solution

The third proportional to 218,594 and 327,891 is: 491,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,594 : 327,891 = 327,891 : x
  2. Step 2: Convert to fraction form
    218,594/327,891 = 327,891/x
  3. Step 3: Cross multiply
    218,594x = 327,891 × 327,891
  4. Step 4: Simplify right side
    218,594x = 107,512,507,881
  5. Step 5: Solve for x
    x = 107,512,507,881/218,594
  6. Step 6: Final answer
    x = 491,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.