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Finding the Third Proportional to 112.75 and 243.25

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Solution

The third proportional to 112.75 and 243.25 is: 524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 243.25 = 243.25 : x
  2. Step 2: Convert to fraction form
    112.75/243.25 = 243.25/x
  3. Step 3: Cross multiply
    112.75x = 243.25 × 243.25
  4. Step 4: Simplify right side
    112.75x = 59,170.56
  5. Step 5: Solve for x
    x = 59,170.56/112.75
  6. Step 6: Final answer
    x = 524.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.