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Finding the Third Proportional to 100,299 and 220,278

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Solution

The third proportional to 100,299 and 220,278 is: 483,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299 : 220,278 = 220,278 : x
  2. Step 2: Convert to fraction form
    100,299/220,278 = 220,278/x
  3. Step 3: Cross multiply
    100,299x = 220,278 × 220,278
  4. Step 4: Simplify right side
    100,299x = 48,522,397,284
  5. Step 5: Solve for x
    x = 48,522,397,284/100,299
  6. Step 6: Final answer
    x = 483,777.48

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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.