Finding the Third Proportional to 196 and 261
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Solution
The third proportional to 196 and 261 is: 347.56
Step by Step Solution
- Step 1: Write the proportion equation
196 : 261 = 261 : x - Step 2: Convert to fraction form
196/261 = 261/x - Step 3: Cross multiply
196x = 261 × 261 - Step 4: Simplify right side
196x = 68,121 - Step 5: Solve for x
x = 68,121/196 - Step 6: Final answer
x = 347.56
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.