Finding the Third Proportional to 676 and 1,690
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Solution
The third proportional to 676 and 1,690 is: 4,225
Step by Step Solution
- Step 1: Write the proportion equation
676 : 1,690 = 1,690 : x - Step 2: Convert to fraction form
676/1,690 = 1,690/x - Step 3: Cross multiply
676x = 1,690 × 1,690 - Step 4: Simplify right side
676x = 2,856,100 - Step 5: Solve for x
x = 2,856,100/676 - Step 6: Final answer
x = 4,225
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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.