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Finding the Third Proportional to 99,100 and 217,880

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Solution

The third proportional to 99,100 and 217,880 is: 479,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,100 : 217,880 = 217,880 : x
  2. Step 2: Convert to fraction form
    99,100/217,880 = 217,880/x
  3. Step 3: Cross multiply
    99,100x = 217,880 × 217,880
  4. Step 4: Simplify right side
    99,100x = 47,471,694,400
  5. Step 5: Solve for x
    x = 47,471,694,400/99,100
  6. Step 6: Final answer
    x = 479,028.20

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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.