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Finding the Third Proportional to 380,808 and 836,349

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Solution

The third proportional to 380,808 and 836,349 is: 1,836,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,808 : 836,349 = 836,349 : x
  2. Step 2: Convert to fraction form
    380,808/836,349 = 836,349/x
  3. Step 3: Cross multiply
    380,808x = 836,349 × 836,349
  4. Step 4: Simplify right side
    380,808x = 699,479,649,801
  5. Step 5: Solve for x
    x = 699,479,649,801/380,808
  6. Step 6: Final answer
    x = 1,836,830.24

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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.