Finding the Third Proportional to 678 and 778
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Solution
The third proportional to 678 and 778 is: 892.75
Step by Step Solution
- Step 1: Write the proportion equation
678 : 778 = 778 : x - Step 2: Convert to fraction form
678/778 = 778/x - Step 3: Cross multiply
678x = 778 × 778 - Step 4: Simplify right side
678x = 605,284 - Step 5: Solve for x
x = 605,284/678 - Step 6: Final answer
x = 892.75
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.