Finding the Third Proportional to 259 and 427
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Solution
The third proportional to 259 and 427 is: 703.97
Step by Step Solution
- Step 1: Write the proportion equation
259 : 427 = 427 : x - Step 2: Convert to fraction form
259/427 = 427/x - Step 3: Cross multiply
259x = 427 × 427 - Step 4: Simplify right side
259x = 182,329 - Step 5: Solve for x
x = 182,329/259 - Step 6: Final answer
x = 703.97
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.