Finding the Third Proportional to 5,378.25 and 8,184.75
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Solution
The third proportional to 5,378.25 and 8,184.75 is: 12,455.75
Step by Step Solution
- Step 1: Write the proportion equation
5,378.25 : 8,184.75 = 8,184.75 : x - Step 2: Convert to fraction form
5,378.25/8,184.75 = 8,184.75/x - Step 3: Cross multiply
5,378.25x = 8,184.75 × 8,184.75 - Step 4: Simplify right side
5,378.25x = 66,990,132.56 - Step 5: Solve for x
x = 66,990,132.56/5,378.25 - Step 6: Final answer
x = 12,455.75
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.