Finding the Third Proportional to 20,964 and 31,162
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Solution
The third proportional to 20,964 and 31,162 is: 46,320.85
Step by Step Solution
- Step 1: Write the proportion equation
20,964 : 31,162 = 31,162 : x - Step 2: Convert to fraction form
20,964/31,162 = 31,162/x - Step 3: Cross multiply
20,964x = 31,162 × 31,162 - Step 4: Simplify right side
20,964x = 971,070,244 - Step 5: Solve for x
x = 971,070,244/20,964 - Step 6: Final answer
x = 46,320.85
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.