Finding the Third Proportional to 12,782 and 19,743
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Solution
The third proportional to 12,782 and 19,743 is: 30,494.92
Step by Step Solution
- Step 1: Write the proportion equation
12,782 : 19,743 = 19,743 : x - Step 2: Convert to fraction form
12,782/19,743 = 19,743/x - Step 3: Cross multiply
12,782x = 19,743 × 19,743 - Step 4: Simplify right side
12,782x = 389,786,049 - Step 5: Solve for x
x = 389,786,049/12,782 - Step 6: Final answer
x = 30,494.92
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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.