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Finding the Third Proportional to 328,815 and 445,593

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Solution

The third proportional to 328,815 and 445,593 is: 603,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,815 : 445,593 = 445,593 : x
  2. Step 2: Convert to fraction form
    328,815/445,593 = 445,593/x
  3. Step 3: Cross multiply
    328,815x = 445,593 × 445,593
  4. Step 4: Simplify right side
    328,815x = 198,553,121,649
  5. Step 5: Solve for x
    x = 198,553,121,649/328,815
  6. Step 6: Final answer
    x = 603,844.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.