Finding the Third Proportional to 2,916 and 7,884
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Solution
The third proportional to 2,916 and 7,884 is: 21,316
Step by Step Solution
- Step 1: Write the proportion equation
2,916 : 7,884 = 7,884 : x - Step 2: Convert to fraction form
2,916/7,884 = 7,884/x - Step 3: Cross multiply
2,916x = 7,884 × 7,884 - Step 4: Simplify right side
2,916x = 62,157,456 - Step 5: Solve for x
x = 62,157,456/2,916 - Step 6: Final answer
x = 21,316
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.