Finding the Third Proportional to 472 and 1,211
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Solution
The third proportional to 472 and 1,211 is: 3,107.04
Step by Step Solution
- Step 1: Write the proportion equation
472 : 1,211 = 1,211 : x - Step 2: Convert to fraction form
472/1,211 = 1,211/x - Step 3: Cross multiply
472x = 1,211 × 1,211 - Step 4: Simplify right side
472x = 1,466,521 - Step 5: Solve for x
x = 1,466,521/472 - Step 6: Final answer
x = 3,107.04
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.