Finding the Third Proportional to 2,916 and 4,692
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Solution
The third proportional to 2,916 and 4,692 is: 7,549.68
Step by Step Solution
- Step 1: Write the proportion equation
2,916 : 4,692 = 4,692 : x - Step 2: Convert to fraction form
2,916/4,692 = 4,692/x - Step 3: Cross multiply
2,916x = 4,692 × 4,692 - Step 4: Simplify right side
2,916x = 22,014,864 - Step 5: Solve for x
x = 22,014,864/2,916 - Step 6: Final answer
x = 7,549.68
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.