Finding the Third Proportional to 308 and 397
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Solution
The third proportional to 308 and 397 is: 511.72
Step by Step Solution
- Step 1: Write the proportion equation
308 : 397 = 397 : x - Step 2: Convert to fraction form
308/397 = 397/x - Step 3: Cross multiply
308x = 397 × 397 - Step 4: Simplify right side
308x = 157,609 - Step 5: Solve for x
x = 157,609/308 - Step 6: Final answer
x = 511.72
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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.