Finding the Third Proportional to 408 and 429
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Solution
The third proportional to 408 and 429 is: 451.08
Step by Step Solution
- Step 1: Write the proportion equation
408 : 429 = 429 : x - Step 2: Convert to fraction form
408/429 = 429/x - Step 3: Cross multiply
408x = 429 × 429 - Step 4: Simplify right side
408x = 184,041 - Step 5: Solve for x
x = 184,041/408 - Step 6: Final answer
x = 451.08
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Why These Related Problems?
These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.