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Finding the Third Proportional to 380,550 and 836,427

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Solution

The third proportional to 380,550 and 836,427 is: 1,838,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,550 : 836,427 = 836,427 : x
  2. Step 2: Convert to fraction form
    380,550/836,427 = 836,427/x
  3. Step 3: Cross multiply
    380,550x = 836,427 × 836,427
  4. Step 4: Simplify right side
    380,550x = 699,610,126,329
  5. Step 5: Solve for x
    x = 699,610,126,329/380,550
  6. Step 6: Final answer
    x = 1,838,418.41

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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.