Finding the Third Proportional to 13,522 and 20,839
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Solution
The third proportional to 13,522 and 20,839 is: 32,115.36
Step by Step Solution
- Step 1: Write the proportion equation
13,522 : 20,839 = 20,839 : x - Step 2: Convert to fraction form
13,522/20,839 = 20,839/x - Step 3: Cross multiply
13,522x = 20,839 × 20,839 - Step 4: Simplify right side
13,522x = 434,263,921 - Step 5: Solve for x
x = 434,263,921/13,522 - Step 6: Final answer
x = 32,115.36
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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.