Finding the Third Proportional to 1,050 and 2,268
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Solution
The third proportional to 1,050 and 2,268 is: 4,898.88
Step by Step Solution
- Step 1: Write the proportion equation
1,050 : 2,268 = 2,268 : x - Step 2: Convert to fraction form
1,050/2,268 = 2,268/x - Step 3: Cross multiply
1,050x = 2,268 × 2,268 - Step 4: Simplify right side
1,050x = 5,143,824 - Step 5: Solve for x
x = 5,143,824/1,050 - Step 6: Final answer
x = 4,898.88
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.