Finding the Third Proportional to 676 and 728
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Solution
The third proportional to 676 and 728 is: 784
Step by Step Solution
- Step 1: Write the proportion equation
676 : 728 = 728 : x - Step 2: Convert to fraction form
676/728 = 728/x - Step 3: Cross multiply
676x = 728 × 728 - Step 4: Simplify right side
676x = 529,984 - Step 5: Solve for x
x = 529,984/676 - Step 6: Final answer
x = 784
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.