Finding the Third Proportional to 252 and 278
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Solution
The third proportional to 252 and 278 is: 306.68
Step by Step Solution
- Step 1: Write the proportion equation
252 : 278 = 278 : x - Step 2: Convert to fraction form
252/278 = 278/x - Step 3: Cross multiply
252x = 278 × 278 - Step 4: Simplify right side
252x = 77,284 - Step 5: Solve for x
x = 77,284/252 - Step 6: Final answer
x = 306.68
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.