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Finding the Third Proportional to 389,288 and 836,775

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Solution

The third proportional to 389,288 and 836,775 is: 1,798,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,288 : 836,775 = 836,775 : x
  2. Step 2: Convert to fraction form
    389,288/836,775 = 836,775/x
  3. Step 3: Cross multiply
    389,288x = 836,775 × 836,775
  4. Step 4: Simplify right side
    389,288x = 700,192,400,625
  5. Step 5: Solve for x
    x = 700,192,400,625/389,288
  6. Step 6: Final answer
    x = 1,798,648.82

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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.