Finding the Third Proportional to 518 and 1,154
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Solution
The third proportional to 518 and 1,154 is: 2,570.88
Step by Step Solution
- Step 1: Write the proportion equation
518 : 1,154 = 1,154 : x - Step 2: Convert to fraction form
518/1,154 = 1,154/x - Step 3: Cross multiply
518x = 1,154 × 1,154 - Step 4: Simplify right side
518x = 1,331,716 - Step 5: Solve for x
x = 1,331,716/518 - Step 6: Final answer
x = 2,570.88
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.