Finding the Third Proportional to 450 and 1,125
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Solution
The third proportional to 450 and 1,125 is: 2,812.50
Step by Step Solution
- Step 1: Write the proportion equation
450 : 1,125 = 1,125 : x - Step 2: Convert to fraction form
450/1,125 = 1,125/x - Step 3: Cross multiply
450x = 1,125 × 1,125 - Step 4: Simplify right side
450x = 1,265,625 - Step 5: Solve for x
x = 1,265,625/450 - Step 6: Final answer
x = 2,812.50
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Why These Related Problems?
These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.