Finding the Third Proportional to 21,843 and 32,729
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Solution
The third proportional to 21,843 and 32,729 is: 49,040.31
Step by Step Solution
- Step 1: Write the proportion equation
21,843 : 32,729 = 32,729 : x - Step 2: Convert to fraction form
21,843/32,729 = 32,729/x - Step 3: Cross multiply
21,843x = 32,729 × 32,729 - Step 4: Simplify right side
21,843x = 1,071,187,441 - Step 5: Solve for x
x = 1,071,187,441/21,843 - Step 6: Final answer
x = 49,040.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.