Finding the Third Proportional to 472 and 1,180
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Solution
The third proportional to 472 and 1,180 is: 2,950
Step by Step Solution
- Step 1: Write the proportion equation
472 : 1,180 = 1,180 : x - Step 2: Convert to fraction form
472/1,180 = 1,180/x - Step 3: Cross multiply
472x = 1,180 × 1,180 - Step 4: Simplify right side
472x = 1,392,400 - Step 5: Solve for x
x = 1,392,400/472 - Step 6: Final answer
x = 2,950
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Why These Related Problems?
These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.