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Finding the Third Proportional to 305,296 and 672,608

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Solution

The third proportional to 305,296 and 672,608 is: 1,481,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296 : 672,608 = 672,608 : x
  2. Step 2: Convert to fraction form
    305,296/672,608 = 672,608/x
  3. Step 3: Cross multiply
    305,296x = 672,608 × 672,608
  4. Step 4: Simplify right side
    305,296x = 452,401,521,664
  5. Step 5: Solve for x
    x = 452,401,521,664/305,296
  6. Step 6: Final answer
    x = 1,481,845.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.