Finding the Third Proportional to 198 and 368.50
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Solution
The third proportional to 198 and 368.50 is: 685.82
Step by Step Solution
- Step 1: Write the proportion equation
198 : 368.50 = 368.50 : x - Step 2: Convert to fraction form
198/368.50 = 368.50/x - Step 3: Cross multiply
198x = 368.50 × 368.50 - Step 4: Simplify right side
198x = 135,792.25 - Step 5: Solve for x
x = 135,792.25/198 - Step 6: Final answer
x = 685.82
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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.