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Finding the Third Proportional to 218,274,061 and 327,330,918

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Solution

The third proportional to 218,274,061 and 327,330,918 is: 490,876,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,274,061 : 327,330,918 = 327,330,918 : x
  2. Step 2: Convert to fraction form
    218,274,061/327,330,918 = 327,330,918/x
  3. Step 3: Cross multiply
    218,274,061x = 327,330,918 × 327,330,918
  4. Step 4: Simplify right side
    218,274,061x = 107,145,529,878,722,720
  5. Step 5: Solve for x
    x = 107,145,529,878,722,720/218,274,061
  6. Step 6: Final answer
    x = 490,876,146.20

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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.