Finding the Third Proportional to 438 and 1,173
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Solution
The third proportional to 438 and 1,173 is: 3,141.39
Step by Step Solution
- Step 1: Write the proportion equation
438 : 1,173 = 1,173 : x - Step 2: Convert to fraction form
438/1,173 = 1,173/x - Step 3: Cross multiply
438x = 1,173 × 1,173 - Step 4: Simplify right side
438x = 1,375,929 - Step 5: Solve for x
x = 1,375,929/438 - Step 6: Final answer
x = 3,141.39
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These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.