Finding the Third Proportional to 317 and 361
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Solution
The third proportional to 317 and 361 is: 411.11
Step by Step Solution
- Step 1: Write the proportion equation
317 : 361 = 361 : x - Step 2: Convert to fraction form
317/361 = 361/x - Step 3: Cross multiply
317x = 361 × 361 - Step 4: Simplify right side
317x = 130,321 - Step 5: Solve for x
x = 130,321/317 - Step 6: Final answer
x = 411.11
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.