Finding the Third Proportional to 5,138.25 and 11,286.75
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Solution
The third proportional to 5,138.25 and 11,286.75 is: 24,792.63
Step by Step Solution
- Step 1: Write the proportion equation
5,138.25 : 11,286.75 = 11,286.75 : x - Step 2: Convert to fraction form
5,138.25/11,286.75 = 11,286.75/x - Step 3: Cross multiply
5,138.25x = 11,286.75 × 11,286.75 - Step 4: Simplify right side
5,138.25x = 127,390,725.56 - Step 5: Solve for x
x = 127,390,725.56/5,138.25 - Step 6: Final answer
x = 24,792.63
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.