Finding the Third Proportional to 538 and 689
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Solution
The third proportional to 538 and 689 is: 882.38
Step by Step Solution
- Step 1: Write the proportion equation
538 : 689 = 689 : x - Step 2: Convert to fraction form
538/689 = 689/x - Step 3: Cross multiply
538x = 689 × 689 - Step 4: Simplify right side
538x = 474,721 - Step 5: Solve for x
x = 474,721/538 - Step 6: Final answer
x = 882.38
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.