Finding the Third Proportional to 5,970 and 13,821
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Solution
The third proportional to 5,970 and 13,821 is: 31,996.66
Step by Step Solution
- Step 1: Write the proportion equation
5,970 : 13,821 = 13,821 : x - Step 2: Convert to fraction form
5,970/13,821 = 13,821/x - Step 3: Cross multiply
5,970x = 13,821 × 13,821 - Step 4: Simplify right side
5,970x = 191,020,041 - Step 5: Solve for x
x = 191,020,041/5,970 - Step 6: Final answer
x = 31,996.66
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.