Finding the Third Proportional to 635 and 653
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Solution
The third proportional to 635 and 653 is: 671.51
Step by Step Solution
- Step 1: Write the proportion equation
635 : 653 = 653 : x - Step 2: Convert to fraction form
635/653 = 653/x - Step 3: Cross multiply
635x = 653 × 653 - Step 4: Simplify right side
635x = 426,409 - Step 5: Solve for x
x = 426,409/635 - Step 6: Final answer
x = 671.51
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.