Finding the Third Proportional to 214 and 234
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Solution
The third proportional to 214 and 234 is: 255.87
Step by Step Solution
- Step 1: Write the proportion equation
214 : 234 = 234 : x - Step 2: Convert to fraction form
214/234 = 234/x - Step 3: Cross multiply
214x = 234 × 234 - Step 4: Simplify right side
214x = 54,756 - Step 5: Solve for x
x = 54,756/214 - Step 6: Final answer
x = 255.87
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.