Finding the Third Proportional to 111.50 and 231.50
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Solution
The third proportional to 111.50 and 231.50 is: 480.65
Step by Step Solution
- Step 1: Write the proportion equation
111.50 : 231.50 = 231.50 : x - Step 2: Convert to fraction form
111.50/231.50 = 231.50/x - Step 3: Cross multiply
111.50x = 231.50 × 231.50 - Step 4: Simplify right side
111.50x = 53,592.25 - Step 5: Solve for x
x = 53,592.25/111.50 - Step 6: Final answer
x = 480.65
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.