Finding the Third Proportional to 20,078 and 46,486
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Solution
The third proportional to 20,078 and 46,486 is: 107,627.66
Step by Step Solution
- Step 1: Write the proportion equation
20,078 : 46,486 = 46,486 : x - Step 2: Convert to fraction form
20,078/46,486 = 46,486/x - Step 3: Cross multiply
20,078x = 46,486 × 46,486 - Step 4: Simplify right side
20,078x = 2,160,948,196 - Step 5: Solve for x
x = 2,160,948,196/20,078 - Step 6: Final answer
x = 107,627.66
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.