Finding the Third Proportional to 278 and 350
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Solution
The third proportional to 278 and 350 is: 440.65
Step by Step Solution
- Step 1: Write the proportion equation
278 : 350 = 350 : x - Step 2: Convert to fraction form
278/350 = 350/x - Step 3: Cross multiply
278x = 350 × 350 - Step 4: Simplify right side
278x = 122,500 - Step 5: Solve for x
x = 122,500/278 - Step 6: Final answer
x = 440.65
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.