Finding the Third Proportional to 289 and 731
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Solution
The third proportional to 289 and 731 is: 1,849
Step by Step Solution
- Step 1: Write the proportion equation
289 : 731 = 731 : x - Step 2: Convert to fraction form
289/731 = 731/x - Step 3: Cross multiply
289x = 731 × 731 - Step 4: Simplify right side
289x = 534,361 - Step 5: Solve for x
x = 534,361/289 - Step 6: Final answer
x = 1,849
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Why These Related Problems?
These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.