Finding the Third Proportional to 403 and 678
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Solution
The third proportional to 403 and 678 is: 1,140.66
Step by Step Solution
- Step 1: Write the proportion equation
403 : 678 = 678 : x - Step 2: Convert to fraction form
403/678 = 678/x - Step 3: Cross multiply
403x = 678 × 678 - Step 4: Simplify right side
403x = 459,684 - Step 5: Solve for x
x = 459,684/403 - Step 6: Final answer
x = 1,140.66
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Why These Related Problems?
These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.