Finding the Third Proportional to 408 and 1,064
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Solution
The third proportional to 408 and 1,064 is: 2,774.75
Step by Step Solution
- Step 1: Write the proportion equation
408 : 1,064 = 1,064 : x - Step 2: Convert to fraction form
408/1,064 = 1,064/x - Step 3: Cross multiply
408x = 1,064 × 1,064 - Step 4: Simplify right side
408x = 1,132,096 - Step 5: Solve for x
x = 1,132,096/408 - Step 6: Final answer
x = 2,774.75
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.