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Finding the Third Proportional to 380,560 and 836,451

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Solution

The third proportional to 380,560 and 836,451 is: 1,838,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,560 : 836,451 = 836,451 : x
  2. Step 2: Convert to fraction form
    380,560/836,451 = 836,451/x
  3. Step 3: Cross multiply
    380,560x = 836,451 × 836,451
  4. Step 4: Simplify right side
    380,560x = 699,650,275,401
  5. Step 5: Solve for x
    x = 699,650,275,401/380,560
  6. Step 6: Final answer
    x = 1,838,475.60

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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.