Finding the Third Proportional to 311 and 317
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Solution
The third proportional to 311 and 317 is: 323.12
Step by Step Solution
- Step 1: Write the proportion equation
311 : 317 = 317 : x - Step 2: Convert to fraction form
311/317 = 317/x - Step 3: Cross multiply
311x = 317 × 317 - Step 4: Simplify right side
311x = 100,489 - Step 5: Solve for x
x = 100,489/311 - Step 6: Final answer
x = 323.12
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Why These Related Problems?
These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.