Finding the Third Proportional to 9,729 and 20,754
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Solution
The third proportional to 9,729 and 20,754 is: 44,272.64
Step by Step Solution
- Step 1: Write the proportion equation
9,729 : 20,754 = 20,754 : x - Step 2: Convert to fraction form
9,729/20,754 = 20,754/x - Step 3: Cross multiply
9,729x = 20,754 × 20,754 - Step 4: Simplify right side
9,729x = 430,728,516 - Step 5: Solve for x
x = 430,728,516/9,729 - Step 6: Final answer
x = 44,272.64
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.