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Finding the Third Proportional to 180,963 and 395,451

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Solution

The third proportional to 180,963 and 395,451 is: 864,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,963 : 395,451 = 395,451 : x
  2. Step 2: Convert to fraction form
    180,963/395,451 = 395,451/x
  3. Step 3: Cross multiply
    180,963x = 395,451 × 395,451
  4. Step 4: Simplify right side
    180,963x = 156,381,493,401
  5. Step 5: Solve for x
    x = 156,381,493,401/180,963
  6. Step 6: Final answer
    x = 864,162.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.