Finding the Third Proportional to 443 and 469.75
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Solution
The third proportional to 443 and 469.75 is: 498.12
Step by Step Solution
- Step 1: Write the proportion equation
443 : 469.75 = 469.75 : x - Step 2: Convert to fraction form
443/469.75 = 469.75/x - Step 3: Cross multiply
443x = 469.75 × 469.75 - Step 4: Simplify right side
443x = 220,665.06 - Step 5: Solve for x
x = 220,665.06/443 - Step 6: Final answer
x = 498.12
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Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.