Finding the Third Proportional to 8,946 and 13,743
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Solution
The third proportional to 8,946 and 13,743 is: 21,112.23
Step by Step Solution
- Step 1: Write the proportion equation
8,946 : 13,743 = 13,743 : x - Step 2: Convert to fraction form
8,946/13,743 = 13,743/x - Step 3: Cross multiply
8,946x = 13,743 × 13,743 - Step 4: Simplify right side
8,946x = 188,870,049 - Step 5: Solve for x
x = 188,870,049/8,946 - Step 6: Final answer
x = 21,112.23
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.