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Finding the Third Proportional to 399,668 and 836,288

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Solution

The third proportional to 399,668 and 836,288 is: 1,749,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,668 : 836,288 = 836,288 : x
  2. Step 2: Convert to fraction form
    399,668/836,288 = 836,288/x
  3. Step 3: Cross multiply
    399,668x = 836,288 × 836,288
  4. Step 4: Simplify right side
    399,668x = 699,377,618,944
  5. Step 5: Solve for x
    x = 699,377,618,944/399,668
  6. Step 6: Final answer
    x = 1,749,896.46

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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.