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Finding the Third Proportional to 90,441 and 196,451

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Solution

The third proportional to 90,441 and 196,451 is: 426,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,441 : 196,451 = 196,451 : x
  2. Step 2: Convert to fraction form
    90,441/196,451 = 196,451/x
  3. Step 3: Cross multiply
    90,441x = 196,451 × 196,451
  4. Step 4: Simplify right side
    90,441x = 38,592,995,401
  5. Step 5: Solve for x
    x = 38,592,995,401/90,441
  6. Step 6: Final answer
    x = 426,720.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.