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Finding the Third Proportional to 222.28 and 348.66

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Solution

The third proportional to 222.28 and 348.66 is: 546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 348.66 = 348.66 : x
  2. Step 2: Convert to fraction form
    222.28/348.66 = 348.66/x
  3. Step 3: Cross multiply
    222.28x = 348.66 × 348.66
  4. Step 4: Simplify right side
    222.28x = 121,561.18
  5. Step 5: Solve for x
    x = 121,561.18/222.28
  6. Step 6: Final answer
    x = 546.88

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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.