Finding the Third Proportional to 676 and 720
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Solution
The third proportional to 676 and 720 is: 766.86
Step by Step Solution
- Step 1: Write the proportion equation
676 : 720 = 720 : x - Step 2: Convert to fraction form
676/720 = 720/x - Step 3: Cross multiply
676x = 720 × 720 - Step 4: Simplify right side
676x = 518,400 - Step 5: Solve for x
x = 518,400/676 - Step 6: Final answer
x = 766.86
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.