Finding the Third Proportional to 21,161 and 32,951
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Solution
The third proportional to 21,161 and 32,951 is: 51,309.88
Step by Step Solution
- Step 1: Write the proportion equation
21,161 : 32,951 = 32,951 : x - Step 2: Convert to fraction form
21,161/32,951 = 32,951/x - Step 3: Cross multiply
21,161x = 32,951 × 32,951 - Step 4: Simplify right side
21,161x = 1,085,768,401 - Step 5: Solve for x
x = 1,085,768,401/21,161 - Step 6: Final answer
x = 51,309.88
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.