Finding the Third Proportional to 998 and 2,690
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Solution
The third proportional to 998 and 2,690 is: 7,250.60
Step by Step Solution
- Step 1: Write the proportion equation
998 : 2,690 = 2,690 : x - Step 2: Convert to fraction form
998/2,690 = 2,690/x - Step 3: Cross multiply
998x = 2,690 × 2,690 - Step 4: Simplify right side
998x = 7,236,100 - Step 5: Solve for x
x = 7,236,100/998 - Step 6: Final answer
x = 7,250.60
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.