Finding the Third Proportional to 196.88 and 302.25
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Solution
The third proportional to 196.88 and 302.25 is: 464.03
Step by Step Solution
- Step 1: Write the proportion equation
196.88 : 302.25 = 302.25 : x - Step 2: Convert to fraction form
196.88/302.25 = 302.25/x - Step 3: Cross multiply
196.88x = 302.25 × 302.25 - Step 4: Simplify right side
196.88x = 91,355.06 - Step 5: Solve for x
x = 91,355.06/196.88 - Step 6: Final answer
x = 464.03
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.