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Finding the Third Proportional to 222.64 and 479.46

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Solution

The third proportional to 222.64 and 479.46 is: 1,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 479.46 = 479.46 : x
  2. Step 2: Convert to fraction form
    222.64/479.46 = 479.46/x
  3. Step 3: Cross multiply
    222.64x = 479.46 × 479.46
  4. Step 4: Simplify right side
    222.64x = 229,882.79
  5. Step 5: Solve for x
    x = 229,882.79/222.64
  6. Step 6: Final answer
    x = 1,032.51

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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.