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Finding the Third Proportional to 218,378 and 327,567

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Solution

The third proportional to 218,378 and 327,567 is: 491,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,378 : 327,567 = 327,567 : x
  2. Step 2: Convert to fraction form
    218,378/327,567 = 327,567/x
  3. Step 3: Cross multiply
    218,378x = 327,567 × 327,567
  4. Step 4: Simplify right side
    218,378x = 107,300,139,489
  5. Step 5: Solve for x
    x = 107,300,139,489/218,378
  6. Step 6: Final answer
    x = 491,350.50

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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.