Finding the Third Proportional to 196 and 314.50
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Solution
The third proportional to 196 and 314.50 is: 504.64
Step by Step Solution
- Step 1: Write the proportion equation
196 : 314.50 = 314.50 : x - Step 2: Convert to fraction form
196/314.50 = 314.50/x - Step 3: Cross multiply
196x = 314.50 × 314.50 - Step 4: Simplify right side
196x = 98,910.25 - Step 5: Solve for x
x = 98,910.25/196 - Step 6: Final answer
x = 504.64
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.