Finding the Third Proportional to 280 and 344
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Solution
The third proportional to 280 and 344 is: 422.63
Step by Step Solution
- Step 1: Write the proportion equation
280 : 344 = 344 : x - Step 2: Convert to fraction form
280/344 = 344/x - Step 3: Cross multiply
280x = 344 × 344 - Step 4: Simplify right side
280x = 118,336 - Step 5: Solve for x
x = 118,336/280 - Step 6: Final answer
x = 422.63
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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.