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Finding the Third Proportional to 389,302 and 836,797

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Solution

The third proportional to 389,302 and 836,797 is: 1,798,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,302 : 836,797 = 836,797 : x
  2. Step 2: Convert to fraction form
    389,302/836,797 = 836,797/x
  3. Step 3: Cross multiply
    389,302x = 836,797 × 836,797
  4. Step 4: Simplify right side
    389,302x = 700,229,219,209
  5. Step 5: Solve for x
    x = 700,229,219,209/389,302
  6. Step 6: Final answer
    x = 1,798,678.71

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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.