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Finding the Third Proportional to 222.56 and 349.69

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Solution

The third proportional to 222.56 and 349.69 is: 549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.56 : 349.69 = 349.69 : x
  2. Step 2: Convert to fraction form
    222.56/349.69 = 349.69/x
  3. Step 3: Cross multiply
    222.56x = 349.69 × 349.69
  4. Step 4: Simplify right side
    222.56x = 122,281.35
  5. Step 5: Solve for x
    x = 122,281.35/222.56
  6. Step 6: Final answer
    x = 549.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.