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Finding the Third Proportional to 100,224 and 220,288

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Solution

The third proportional to 100,224 and 220,288 is: 484,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224 : 220,288 = 220,288 : x
  2. Step 2: Convert to fraction form
    100,224/220,288 = 220,288/x
  3. Step 3: Cross multiply
    100,224x = 220,288 × 220,288
  4. Step 4: Simplify right side
    100,224x = 48,526,802,944
  5. Step 5: Solve for x
    x = 48,526,802,944/100,224
  6. Step 6: Final answer
    x = 484,183.46

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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.