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Finding the Third Proportional to 111.22 and 242.66

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Solution

The third proportional to 111.22 and 242.66 is: 529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 242.66 = 242.66 : x
  2. Step 2: Convert to fraction form
    111.22/242.66 = 242.66/x
  3. Step 3: Cross multiply
    111.22x = 242.66 × 242.66
  4. Step 4: Simplify right side
    111.22x = 58,882.06
  5. Step 5: Solve for x
    x = 58,882.06/111.22
  6. Step 6: Final answer
    x = 529.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.