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Finding the Third Proportional to 328,430 and 494,103

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Solution

The third proportional to 328,430 and 494,103 is: 743,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,430 : 494,103 = 494,103 : x
  2. Step 2: Convert to fraction form
    328,430/494,103 = 494,103/x
  3. Step 3: Cross multiply
    328,430x = 494,103 × 494,103
  4. Step 4: Simplify right side
    328,430x = 244,137,774,609
  5. Step 5: Solve for x
    x = 244,137,774,609/328,430
  6. Step 6: Final answer
    x = 743,347.97

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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.