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Finding the Third Proportional to 399,655 and 836,258

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Solution

The third proportional to 399,655 and 836,258 is: 1,749,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,655 : 836,258 = 836,258 : x
  2. Step 2: Convert to fraction form
    399,655/836,258 = 836,258/x
  3. Step 3: Cross multiply
    399,655x = 836,258 × 836,258
  4. Step 4: Simplify right side
    399,655x = 699,327,442,564
  5. Step 5: Solve for x
    x = 699,327,442,564/399,655
  6. Step 6: Final answer
    x = 1,749,827.83

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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.