Finding the Third Proportional to 257 and 286
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Solution
The third proportional to 257 and 286 is: 318.27
Step by Step Solution
- Step 1: Write the proportion equation
257 : 286 = 286 : x - Step 2: Convert to fraction form
257/286 = 286/x - Step 3: Cross multiply
257x = 286 × 286 - Step 4: Simplify right side
257x = 81,796 - Step 5: Solve for x
x = 81,796/257 - Step 6: Final answer
x = 318.27
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.