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Finding the Third Proportional to 110.81 and 248.27

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Solution

The third proportional to 110.81 and 248.27 is: 556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 248.27 = 248.27 : x
  2. Step 2: Convert to fraction form
    110.81/248.27 = 248.27/x
  3. Step 3: Cross multiply
    110.81x = 248.27 × 248.27
  4. Step 4: Simplify right side
    110.81x = 61,639.70
  5. Step 5: Solve for x
    x = 61,639.70/110.81
  6. Step 6: Final answer
    x = 556.25

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.