Finding the Third Proportional to 289 and 571
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Solution
The third proportional to 289 and 571 is: 1,128.17
Step by Step Solution
- Step 1: Write the proportion equation
289 : 571 = 571 : x - Step 2: Convert to fraction form
289/571 = 571/x - Step 3: Cross multiply
289x = 571 × 571 - Step 4: Simplify right side
289x = 326,041 - Step 5: Solve for x
x = 326,041/289 - Step 6: Final answer
x = 1,128.17
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.