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Finding the Third Proportional to 389,939 and 837,910

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Solution

The third proportional to 389,939 and 837,910 is: 1,800,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,939 : 837,910 = 837,910 : x
  2. Step 2: Convert to fraction form
    389,939/837,910 = 837,910/x
  3. Step 3: Cross multiply
    389,939x = 837,910 × 837,910
  4. Step 4: Simplify right side
    389,939x = 702,093,168,100
  5. Step 5: Solve for x
    x = 702,093,168,100/389,939
  6. Step 6: Final answer
    x = 1,800,520.51

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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.