Finding the Third Proportional to 196,380 and 427,752
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Solution
The third proportional to 196,380 and 427,752 is: 931,723.05
Step by Step Solution
- Step 1: Write the proportion equation
196,380 : 427,752 = 427,752 : x - Step 2: Convert to fraction form
196,380/427,752 = 427,752/x - Step 3: Cross multiply
196,380x = 427,752 × 427,752 - Step 4: Simplify right side
196,380x = 182,971,773,504 - Step 5: Solve for x
x = 182,971,773,504/196,380 - Step 6: Final answer
x = 931,723.05
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.