Finding the Third Proportional to 160,964 and 342,720
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Solution
The third proportional to 160,964 and 342,720 is: 729,709.74
Step by Step Solution
- Step 1: Write the proportion equation
160,964 : 342,720 = 342,720 : x - Step 2: Convert to fraction form
160,964/342,720 = 342,720/x - Step 3: Cross multiply
160,964x = 342,720 × 342,720 - Step 4: Simplify right side
160,964x = 117,456,998,400 - Step 5: Solve for x
x = 117,456,998,400/160,964 - Step 6: Final answer
x = 729,709.74
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.