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Finding the Third Proportional to 399,665 and 836,278

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Solution

The third proportional to 399,665 and 836,278 is: 1,749,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,665 : 836,278 = 836,278 : x
  2. Step 2: Convert to fraction form
    399,665/836,278 = 836,278/x
  3. Step 3: Cross multiply
    399,665x = 836,278 × 836,278
  4. Step 4: Simplify right side
    399,665x = 699,360,893,284
  5. Step 5: Solve for x
    x = 699,360,893,284/399,665
  6. Step 6: Final answer
    x = 1,749,867.75

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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.