Finding the Third Proportional to 31,540 and 43,854
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Solution
The third proportional to 31,540 and 43,854 is: 60,975.69
Step by Step Solution
- Step 1: Write the proportion equation
31,540 : 43,854 = 43,854 : x - Step 2: Convert to fraction form
31,540/43,854 = 43,854/x - Step 3: Cross multiply
31,540x = 43,854 × 43,854 - Step 4: Simplify right side
31,540x = 1,923,173,316 - Step 5: Solve for x
x = 1,923,173,316/31,540 - Step 6: Final answer
x = 60,975.69
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.