Finding the Third Proportional to 998 and 1,868
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Solution
The third proportional to 998 and 1,868 is: 3,496.42
Step by Step Solution
- Step 1: Write the proportion equation
998 : 1,868 = 1,868 : x - Step 2: Convert to fraction form
998/1,868 = 1,868/x - Step 3: Cross multiply
998x = 1,868 × 1,868 - Step 4: Simplify right side
998x = 3,489,424 - Step 5: Solve for x
x = 3,489,424/998 - Step 6: Final answer
x = 3,496.42
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Why These Related Problems?
These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.