Finding the Third Proportional to 245 and 409
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Solution
The third proportional to 245 and 409 is: 682.78
Step by Step Solution
- Step 1: Write the proportion equation
245 : 409 = 409 : x - Step 2: Convert to fraction form
245/409 = 409/x - Step 3: Cross multiply
245x = 409 × 409 - Step 4: Simplify right side
245x = 167,281 - Step 5: Solve for x
x = 167,281/245 - Step 6: Final answer
x = 682.78
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.