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Finding the Third Proportional to 399,627 and 836,190

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Solution

The third proportional to 399,627 and 836,190 is: 1,749,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,627 : 836,190 = 836,190 : x
  2. Step 2: Convert to fraction form
    399,627/836,190 = 836,190/x
  3. Step 3: Cross multiply
    399,627x = 836,190 × 836,190
  4. Step 4: Simplify right side
    399,627x = 699,213,716,100
  5. Step 5: Solve for x
    x = 699,213,716,100/399,627
  6. Step 6: Final answer
    x = 1,749,665.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.