Finding the Third Proportional to 999 and 1,800
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Solution
The third proportional to 999 and 1,800 is: 3,243.24
Step by Step Solution
- Step 1: Write the proportion equation
999 : 1,800 = 1,800 : x - Step 2: Convert to fraction form
999/1,800 = 1,800/x - Step 3: Cross multiply
999x = 1,800 × 1,800 - Step 4: Simplify right side
999x = 3,240,000 - Step 5: Solve for x
x = 3,240,000/999 - Step 6: Final answer
x = 3,243.24
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.