Finding the Third Proportional to 196 and 478.50
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Solution
The third proportional to 196 and 478.50 is: 1,168.17
Step by Step Solution
- Step 1: Write the proportion equation
196 : 478.50 = 478.50 : x - Step 2: Convert to fraction form
196/478.50 = 478.50/x - Step 3: Cross multiply
196x = 478.50 × 478.50 - Step 4: Simplify right side
196x = 228,962.25 - Step 5: Solve for x
x = 228,962.25/196 - Step 6: Final answer
x = 1,168.17
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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.