Finding the Third Proportional to 198 and 490
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Solution
The third proportional to 198 and 490 is: 1,212.63
Step by Step Solution
- Step 1: Write the proportion equation
198 : 490 = 490 : x - Step 2: Convert to fraction form
198/490 = 490/x - Step 3: Cross multiply
198x = 490 × 490 - Step 4: Simplify right side
198x = 240,100 - Step 5: Solve for x
x = 240,100/198 - Step 6: Final answer
x = 1,212.63
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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.