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Finding the Third Proportional to 100,446 and 220,980

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Solution

The third proportional to 100,446 and 220,980 is: 486,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446 : 220,980 = 220,980 : x
  2. Step 2: Convert to fraction form
    100,446/220,980 = 220,980/x
  3. Step 3: Cross multiply
    100,446x = 220,980 × 220,980
  4. Step 4: Simplify right side
    100,446x = 48,832,160,400
  5. Step 5: Solve for x
    x = 48,832,160,400/100,446
  6. Step 6: Final answer
    x = 486,153.36

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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.