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Finding the Third Proportional to 222.12 and 476.51

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Solution

The third proportional to 222.12 and 476.51 is: 1,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 476.51 = 476.51 : x
  2. Step 2: Convert to fraction form
    222.12/476.51 = 476.51/x
  3. Step 3: Cross multiply
    222.12x = 476.51 × 476.51
  4. Step 4: Simplify right side
    222.12x = 227,059.70
  5. Step 5: Solve for x
    x = 227,059.70/222.12
  6. Step 6: Final answer
    x = 1,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.