Finding the Third Proportional to 311.50 and 680.50
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Solution
The third proportional to 311.50 and 680.50 is: 1,486.61
Step by Step Solution
- Step 1: Write the proportion equation
311.50 : 680.50 = 680.50 : x - Step 2: Convert to fraction form
311.50/680.50 = 680.50/x - Step 3: Cross multiply
311.50x = 680.50 × 680.50 - Step 4: Simplify right side
311.50x = 463,080.25 - Step 5: Solve for x
x = 463,080.25/311.50 - Step 6: Final answer
x = 1,486.61
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.