Finding the Third Proportional to 21,516 and 46,431
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Solution
The third proportional to 21,516 and 46,431 is: 100,196.96
Step by Step Solution
- Step 1: Write the proportion equation
21,516 : 46,431 = 46,431 : x - Step 2: Convert to fraction form
21,516/46,431 = 46,431/x - Step 3: Cross multiply
21,516x = 46,431 × 46,431 - Step 4: Simplify right side
21,516x = 2,155,837,761 - Step 5: Solve for x
x = 2,155,837,761/21,516 - Step 6: Final answer
x = 100,196.96
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.