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Finding the Third Proportional to 103,880 and 220,720

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Solution

The third proportional to 103,880 and 220,720 is: 468,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,880 : 220,720 = 220,720 : x
  2. Step 2: Convert to fraction form
    103,880/220,720 = 220,720/x
  3. Step 3: Cross multiply
    103,880x = 220,720 × 220,720
  4. Step 4: Simplify right side
    103,880x = 48,717,318,400
  5. Step 5: Solve for x
    x = 48,717,318,400/103,880
  6. Step 6: Final answer
    x = 468,976.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.