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Finding the Third Proportional to 389,761 and 837,544

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Solution

The third proportional to 389,761 and 837,544 is: 1,799,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,761 : 837,544 = 837,544 : x
  2. Step 2: Convert to fraction form
    389,761/837,544 = 837,544/x
  3. Step 3: Cross multiply
    389,761x = 837,544 × 837,544
  4. Step 4: Simplify right side
    389,761x = 701,479,951,936
  5. Step 5: Solve for x
    x = 701,479,951,936/389,761
  6. Step 6: Final answer
    x = 1,799,769.48

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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.