Finding the Third Proportional to 248 and 282
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Solution
The third proportional to 248 and 282 is: 320.66
Step by Step Solution
- Step 1: Write the proportion equation
248 : 282 = 282 : x - Step 2: Convert to fraction form
248/282 = 282/x - Step 3: Cross multiply
248x = 282 × 282 - Step 4: Simplify right side
248x = 79,524 - Step 5: Solve for x
x = 79,524/248 - Step 6: Final answer
x = 320.66
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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.