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Finding the Third Proportional to 389,910.38 and 837,837

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Solution

The third proportional to 389,910.38 and 837,837 is: 1,800,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,910.38 : 837,837 = 837,837 : x
  2. Step 2: Convert to fraction form
    389,910.38/837,837 = 837,837/x
  3. Step 3: Cross multiply
    389,910.38x = 837,837 × 837,837
  4. Step 4: Simplify right side
    389,910.38x = 701,970,838,569
  5. Step 5: Solve for x
    x = 701,970,838,569/389,910.38
  6. Step 6: Final answer
    x = 1,800,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.