Finding the Third Proportional to 19,474 and 27,749
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Solution
The third proportional to 19,474 and 27,749 is: 39,540.26
Step by Step Solution
- Step 1: Write the proportion equation
19,474 : 27,749 = 27,749 : x - Step 2: Convert to fraction form
19,474/27,749 = 27,749/x - Step 3: Cross multiply
19,474x = 27,749 × 27,749 - Step 4: Simplify right side
19,474x = 770,007,001 - Step 5: Solve for x
x = 770,007,001/19,474 - Step 6: Final answer
x = 39,540.26
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.