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Finding the Third Proportional to 389,704 and 837,640

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Solution

The third proportional to 389,704 and 837,640 is: 1,800,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,704 : 837,640 = 837,640 : x
  2. Step 2: Convert to fraction form
    389,704/837,640 = 837,640/x
  3. Step 3: Cross multiply
    389,704x = 837,640 × 837,640
  4. Step 4: Simplify right side
    389,704x = 701,640,769,600
  5. Step 5: Solve for x
    x = 701,640,769,600/389,704
  6. Step 6: Final answer
    x = 1,800,445.39

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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.