Finding the Third Proportional to 288 and 338
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Solution
The third proportional to 288 and 338 is: 396.68
Step by Step Solution
- Step 1: Write the proportion equation
288 : 338 = 338 : x - Step 2: Convert to fraction form
288/338 = 338/x - Step 3: Cross multiply
288x = 338 × 338 - Step 4: Simplify right side
288x = 114,244 - Step 5: Solve for x
x = 114,244/288 - Step 6: Final answer
x = 396.68
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.