Finding the Third Proportional to 31,786 and 69,940
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Solution
The third proportional to 31,786 and 69,940 is: 153,891.76
Step by Step Solution
- Step 1: Write the proportion equation
31,786 : 69,940 = 69,940 : x - Step 2: Convert to fraction form
31,786/69,940 = 69,940/x - Step 3: Cross multiply
31,786x = 69,940 × 69,940 - Step 4: Simplify right side
31,786x = 4,891,603,600 - Step 5: Solve for x
x = 4,891,603,600/31,786 - Step 6: Final answer
x = 153,891.76
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.