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Finding the Third Proportional to 110.81 and 243.28

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Solution

The third proportional to 110.81 and 243.28 is: 534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 243.28 = 243.28 : x
  2. Step 2: Convert to fraction form
    110.81/243.28 = 243.28/x
  3. Step 3: Cross multiply
    110.81x = 243.28 × 243.28
  4. Step 4: Simplify right side
    110.81x = 59,185.77
  5. Step 5: Solve for x
    x = 59,185.77/110.81
  6. Step 6: Final answer
    x = 534.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.