Finding the Third Proportional to 1,185 and 1,778
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Solution
The third proportional to 1,185 and 1,778 is: 2,667.75
Step by Step Solution
- Step 1: Write the proportion equation
1,185 : 1,778 = 1,778 : x - Step 2: Convert to fraction form
1,185/1,778 = 1,778/x - Step 3: Cross multiply
1,185x = 1,778 × 1,778 - Step 4: Simplify right side
1,185x = 3,161,284 - Step 5: Solve for x
x = 3,161,284/1,185 - Step 6: Final answer
x = 2,667.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.