Finding the Third Proportional to 407 and 669
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Solution
The third proportional to 407 and 669 is: 1,099.66
Step by Step Solution
- Step 1: Write the proportion equation
407 : 669 = 669 : x - Step 2: Convert to fraction form
407/669 = 669/x - Step 3: Cross multiply
407x = 669 × 669 - Step 4: Simplify right side
407x = 447,561 - Step 5: Solve for x
x = 447,561/407 - Step 6: Final answer
x = 1,099.66
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.