Finding the Third Proportional to 21,422 and 32,949
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Solution
The third proportional to 21,422 and 32,949 is: 50,678.58
Step by Step Solution
- Step 1: Write the proportion equation
21,422 : 32,949 = 32,949 : x - Step 2: Convert to fraction form
21,422/32,949 = 32,949/x - Step 3: Cross multiply
21,422x = 32,949 × 32,949 - Step 4: Simplify right side
21,422x = 1,085,636,601 - Step 5: Solve for x
x = 1,085,636,601/21,422 - Step 6: Final answer
x = 50,678.58
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.