Finding the Third Proportional to 1,492 and 2,238
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Solution
The third proportional to 1,492 and 2,238 is: 3,357
Step by Step Solution
- Step 1: Write the proportion equation
1,492 : 2,238 = 2,238 : x - Step 2: Convert to fraction form
1,492/2,238 = 2,238/x - Step 3: Cross multiply
1,492x = 2,238 × 2,238 - Step 4: Simplify right side
1,492x = 5,008,644 - Step 5: Solve for x
x = 5,008,644/1,492 - Step 6: Final answer
x = 3,357
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.