Finding the Third Proportional to 248 and 427
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Solution
The third proportional to 248 and 427 is: 735.20
Step by Step Solution
- Step 1: Write the proportion equation
248 : 427 = 427 : x - Step 2: Convert to fraction form
248/427 = 427/x - Step 3: Cross multiply
248x = 427 × 427 - Step 4: Simplify right side
248x = 182,329 - Step 5: Solve for x
x = 182,329/248 - Step 6: Final answer
x = 735.20
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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.