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Finding the Third Proportional to 328,608 and 672,756

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Solution

The third proportional to 328,608 and 672,756 is: 1,377,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,608 : 672,756 = 672,756 : x
  2. Step 2: Convert to fraction form
    328,608/672,756 = 672,756/x
  3. Step 3: Cross multiply
    328,608x = 672,756 × 672,756
  4. Step 4: Simplify right side
    328,608x = 452,600,635,536
  5. Step 5: Solve for x
    x = 452,600,635,536/328,608
  6. Step 6: Final answer
    x = 1,377,326.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.