Finding the Third Proportional to 216 and 400
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Solution
The third proportional to 216 and 400 is: 740.74
Step by Step Solution
- Step 1: Write the proportion equation
216 : 400 = 400 : x - Step 2: Convert to fraction form
216/400 = 400/x - Step 3: Cross multiply
216x = 400 × 400 - Step 4: Simplify right side
216x = 160,000 - Step 5: Solve for x
x = 160,000/216 - Step 6: Final answer
x = 740.74
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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.