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Finding the Third Proportional to 389,676 and 837,620

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Solution

The third proportional to 389,676 and 837,620 is: 1,800,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,676 : 837,620 = 837,620 : x
  2. Step 2: Convert to fraction form
    389,676/837,620 = 837,620/x
  3. Step 3: Cross multiply
    389,676x = 837,620 × 837,620
  4. Step 4: Simplify right side
    389,676x = 701,607,264,400
  5. Step 5: Solve for x
    x = 701,607,264,400/389,676
  6. Step 6: Final answer
    x = 1,800,488.78

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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.