Finding the Third Proportional to 340 and 496
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Solution
The third proportional to 340 and 496 is: 723.58
Step by Step Solution
- Step 1: Write the proportion equation
340 : 496 = 496 : x - Step 2: Convert to fraction form
340/496 = 496/x - Step 3: Cross multiply
340x = 496 × 496 - Step 4: Simplify right side
340x = 246,016 - Step 5: Solve for x
x = 246,016/340 - Step 6: Final answer
x = 723.58
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.