Finding the Third Proportional to 196 and 217
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Solution
The third proportional to 196 and 217 is: 240.25
Step by Step Solution
- Step 1: Write the proportion equation
196 : 217 = 217 : x - Step 2: Convert to fraction form
196/217 = 217/x - Step 3: Cross multiply
196x = 217 × 217 - Step 4: Simplify right side
196x = 47,089 - Step 5: Solve for x
x = 47,089/196 - Step 6: Final answer
x = 240.25
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.