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Finding the Third Proportional to 328,434 and 494,108

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Solution

The third proportional to 328,434 and 494,108 is: 743,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,434 : 494,108 = 494,108 : x
  2. Step 2: Convert to fraction form
    328,434/494,108 = 494,108/x
  3. Step 3: Cross multiply
    328,434x = 494,108 × 494,108
  4. Step 4: Simplify right side
    328,434x = 244,142,715,664
  5. Step 5: Solve for x
    x = 244,142,715,664/328,434
  6. Step 6: Final answer
    x = 743,353.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.