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Finding the Third Proportional to 218,864 and 327,810

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Solution

The third proportional to 218,864 and 327,810 is: 490,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864 : 327,810 = 327,810 : x
  2. Step 2: Convert to fraction form
    218,864/327,810 = 327,810/x
  3. Step 3: Cross multiply
    218,864x = 327,810 × 327,810
  4. Step 4: Simplify right side
    218,864x = 107,459,396,100
  5. Step 5: Solve for x
    x = 107,459,396,100/218,864
  6. Step 6: Final answer
    x = 490,987.08

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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.