Finding the Third Proportional to 20,828 and 30,689
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Solution
The third proportional to 20,828 and 30,689 is: 45,218.68
Step by Step Solution
- Step 1: Write the proportion equation
20,828 : 30,689 = 30,689 : x - Step 2: Convert to fraction form
20,828/30,689 = 30,689/x - Step 3: Cross multiply
20,828x = 30,689 × 30,689 - Step 4: Simplify right side
20,828x = 941,814,721 - Step 5: Solve for x
x = 941,814,721/20,828 - Step 6: Final answer
x = 45,218.68
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.