Finding the Third Proportional to 306 and 496
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Solution
The third proportional to 306 and 496 is: 803.97
Step by Step Solution
- Step 1: Write the proportion equation
306 : 496 = 496 : x - Step 2: Convert to fraction form
306/496 = 496/x - Step 3: Cross multiply
306x = 496 × 496 - Step 4: Simplify right side
306x = 246,016 - Step 5: Solve for x
x = 246,016/306 - Step 6: Final answer
x = 803.97
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.