Finding the Third Proportional to 111 and 283
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Solution
The third proportional to 111 and 283 is: 721.52
Step by Step Solution
- Step 1: Write the proportion equation
111 : 283 = 283 : x - Step 2: Convert to fraction form
111/283 = 283/x - Step 3: Cross multiply
111x = 283 × 283 - Step 4: Simplify right side
111x = 80,089 - Step 5: Solve for x
x = 80,089/111 - Step 6: Final answer
x = 721.52
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Why These Related Problems?
These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.