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Finding the Third Proportional to 512,608.50 and 768,912.75

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Solution

The third proportional to 512,608.50 and 768,912.75 is: 1,153,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,608.50 : 768,912.75 = 768,912.75 : x
  2. Step 2: Convert to fraction form
    512,608.50/768,912.75 = 768,912.75/x
  3. Step 3: Cross multiply
    512,608.50x = 768,912.75 × 768,912.75
  4. Step 4: Simplify right side
    512,608.50x = 591,226,817,112.56
  5. Step 5: Solve for x
    x = 591,226,817,112.56/512,608.50
  6. Step 6: Final answer
    x = 1,153,369.13

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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.