Finding the Third Proportional to 286 and 704
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Solution
The third proportional to 286 and 704 is: 1,732.92
Step by Step Solution
- Step 1: Write the proportion equation
286 : 704 = 704 : x - Step 2: Convert to fraction form
286/704 = 704/x - Step 3: Cross multiply
286x = 704 × 704 - Step 4: Simplify right side
286x = 495,616 - Step 5: Solve for x
x = 495,616/286 - Step 6: Final answer
x = 1,732.92
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Why These Related Problems?
These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.