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Finding the Third Proportional to 380,818 and 836,368

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Solution

The third proportional to 380,818 and 836,368 is: 1,836,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,818 : 836,368 = 836,368 : x
  2. Step 2: Convert to fraction form
    380,818/836,368 = 836,368/x
  3. Step 3: Cross multiply
    380,818x = 836,368 × 836,368
  4. Step 4: Simplify right side
    380,818x = 699,511,431,424
  5. Step 5: Solve for x
    x = 699,511,431,424/380,818
  6. Step 6: Final answer
    x = 1,836,865.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.