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Finding the Third Proportional to 328,820 and 445,599

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Solution

The third proportional to 328,820 and 445,599 is: 603,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,820 : 445,599 = 445,599 : x
  2. Step 2: Convert to fraction form
    328,820/445,599 = 445,599/x
  3. Step 3: Cross multiply
    328,820x = 445,599 × 445,599
  4. Step 4: Simplify right side
    328,820x = 198,558,468,801
  5. Step 5: Solve for x
    x = 198,558,468,801/328,820
  6. Step 6: Final answer
    x = 603,851.56

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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.