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Finding the Third Proportional to 394,914 and 612,609

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Solution

The third proportional to 394,914 and 612,609 is: 950,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,914 : 612,609 = 612,609 : x
  2. Step 2: Convert to fraction form
    394,914/612,609 = 612,609/x
  3. Step 3: Cross multiply
    394,914x = 612,609 × 612,609
  4. Step 4: Simplify right side
    394,914x = 375,289,786,881
  5. Step 5: Solve for x
    x = 375,289,786,881/394,914
  6. Step 6: Final answer
    x = 950,307.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.