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Finding the Third Proportional to 110.66 and 243.16

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Solution

The third proportional to 110.66 and 243.16 is: 534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 243.16 = 243.16 : x
  2. Step 2: Convert to fraction form
    110.66/243.16 = 243.16/x
  3. Step 3: Cross multiply
    110.66x = 243.16 × 243.16
  4. Step 4: Simplify right side
    110.66x = 59,124.96
  5. Step 5: Solve for x
    x = 59,124.96/110.66
  6. Step 6: Final answer
    x = 534.31

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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.