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Finding the Third Proportional to 389,383 and 836,937

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Solution

The third proportional to 389,383 and 836,937 is: 1,798,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,383 : 836,937 = 836,937 : x
  2. Step 2: Convert to fraction form
    389,383/836,937 = 836,937/x
  3. Step 3: Cross multiply
    389,383x = 836,937 × 836,937
  4. Step 4: Simplify right side
    389,383x = 700,463,541,969
  5. Step 5: Solve for x
    x = 700,463,541,969/389,383
  6. Step 6: Final answer
    x = 1,798,906.33

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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.