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Finding the Third Proportional to 222.13 and 476.38

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Solution

The third proportional to 222.13 and 476.38 is: 1,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.13 : 476.38 = 476.38 : x
  2. Step 2: Convert to fraction form
    222.13/476.38 = 476.38/x
  3. Step 3: Cross multiply
    222.13x = 476.38 × 476.38
  4. Step 4: Simplify right side
    222.13x = 226,933.14
  5. Step 5: Solve for x
    x = 226,933.14/222.13
  6. Step 6: Final answer
    x = 1,021.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.