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Finding the Third Proportional to 218,592 and 327,888

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Solution

The third proportional to 218,592 and 327,888 is: 491,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,592 : 327,888 = 327,888 : x
  2. Step 2: Convert to fraction form
    218,592/327,888 = 327,888/x
  3. Step 3: Cross multiply
    218,592x = 327,888 × 327,888
  4. Step 4: Simplify right side
    218,592x = 107,510,540,544
  5. Step 5: Solve for x
    x = 107,510,540,544/218,592
  6. Step 6: Final answer
    x = 491,832

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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.