Finding the Third Proportional to 65 and 173
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Solution
The third proportional to 65 and 173 is: 460.45
Step by Step Solution
- Step 1: Write the proportion equation
65 : 173 = 173 : x - Step 2: Convert to fraction form
65/173 = 173/x - Step 3: Cross multiply
65x = 173 × 173 - Step 4: Simplify right side
65x = 29,929 - Step 5: Solve for x
x = 29,929/65 - Step 6: Final answer
x = 460.45
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Why These Related Problems?
These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.