Finding the Third Proportional to 1,690 and 2,990
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Solution
The third proportional to 1,690 and 2,990 is: 5,290
Step by Step Solution
- Step 1: Write the proportion equation
1,690 : 2,990 = 2,990 : x - Step 2: Convert to fraction form
1,690/2,990 = 2,990/x - Step 3: Cross multiply
1,690x = 2,990 × 2,990 - Step 4: Simplify right side
1,690x = 8,940,100 - Step 5: Solve for x
x = 8,940,100/1,690 - Step 6: Final answer
x = 5,290
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Why These Related Problems?
These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.