Finding the Third Proportional to 21,382 and 46,646
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Solution
The third proportional to 21,382 and 46,646 is: 101,760.79
Step by Step Solution
- Step 1: Write the proportion equation
21,382 : 46,646 = 46,646 : x - Step 2: Convert to fraction form
21,382/46,646 = 46,646/x - Step 3: Cross multiply
21,382x = 46,646 × 46,646 - Step 4: Simplify right side
21,382x = 2,175,849,316 - Step 5: Solve for x
x = 2,175,849,316/21,382 - Step 6: Final answer
x = 101,760.79
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.