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Finding the Third Proportional to 399,656 and 836,260

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Solution

The third proportional to 399,656 and 836,260 is: 1,749,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,656 : 836,260 = 836,260 : x
  2. Step 2: Convert to fraction form
    399,656/836,260 = 836,260/x
  3. Step 3: Cross multiply
    399,656x = 836,260 × 836,260
  4. Step 4: Simplify right side
    399,656x = 699,330,787,600
  5. Step 5: Solve for x
    x = 699,330,787,600/399,656
  6. Step 6: Final answer
    x = 1,749,831.82

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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.