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Finding the Third Proportional to 90,960 and 212,451

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Solution

The third proportional to 90,960 and 212,451 is: 496,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,960 : 212,451 = 212,451 : x
  2. Step 2: Convert to fraction form
    90,960/212,451 = 212,451/x
  3. Step 3: Cross multiply
    90,960x = 212,451 × 212,451
  4. Step 4: Simplify right side
    90,960x = 45,135,427,401
  5. Step 5: Solve for x
    x = 45,135,427,401/90,960
  6. Step 6: Final answer
    x = 496,211.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.