Finding the Third Proportional to 980 and 2,194
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Solution
The third proportional to 980 and 2,194 is: 4,911.87
Step by Step Solution
- Step 1: Write the proportion equation
980 : 2,194 = 2,194 : x - Step 2: Convert to fraction form
980/2,194 = 2,194/x - Step 3: Cross multiply
980x = 2,194 × 2,194 - Step 4: Simplify right side
980x = 4,813,636 - Step 5: Solve for x
x = 4,813,636/980 - Step 6: Final answer
x = 4,911.87
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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.