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Finding the Third Proportional to 100,845 and 221,369

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Solution

The third proportional to 100,845 and 221,369 is: 485,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,845 : 221,369 = 221,369 : x
  2. Step 2: Convert to fraction form
    100,845/221,369 = 221,369/x
  3. Step 3: Cross multiply
    100,845x = 221,369 × 221,369
  4. Step 4: Simplify right side
    100,845x = 49,004,234,161
  5. Step 5: Solve for x
    x = 49,004,234,161/100,845
  6. Step 6: Final answer
    x = 485,936.18

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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.