Finding the Third Proportional to 400 and 980
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Solution
The third proportional to 400 and 980 is: 2,401
Step by Step Solution
- Step 1: Write the proportion equation
400 : 980 = 980 : x - Step 2: Convert to fraction form
400/980 = 980/x - Step 3: Cross multiply
400x = 980 × 980 - Step 4: Simplify right side
400x = 960,400 - Step 5: Solve for x
x = 960,400/400 - Step 6: Final answer
x = 2,401
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.