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Finding the Third Proportional to 512,108 and 775,234

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Solution

The third proportional to 512,108 and 775,234 is: 1,173,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,108 : 775,234 = 775,234 : x
  2. Step 2: Convert to fraction form
    512,108/775,234 = 775,234/x
  3. Step 3: Cross multiply
    512,108x = 775,234 × 775,234
  4. Step 4: Simplify right side
    512,108x = 600,987,754,756
  5. Step 5: Solve for x
    x = 600,987,754,756/512,108
  6. Step 6: Final answer
    x = 1,173,556.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.