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Finding the Third Proportional to 218,274,059 and 327,330,915.50

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Solution

The third proportional to 218,274,059 and 327,330,915.50 is: 490,876,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,274,059 : 327,330,915.50 = 327,330,915.50 : x
  2. Step 2: Convert to fraction form
    218,274,059/327,330,915.50 = 327,330,915.50/x
  3. Step 3: Cross multiply
    218,274,059x = 327,330,915.50 × 327,330,915.50
  4. Step 4: Simplify right side
    218,274,059x = 107,145,528,242,068,144
  5. Step 5: Solve for x
    x = 107,145,528,242,068,144/218,274,059
  6. Step 6: Final answer
    x = 490,876,143.20

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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.