Finding the Third Proportional to 56 and 102
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Solution
The third proportional to 56 and 102 is: 185.79
Step by Step Solution
- Step 1: Write the proportion equation
56 : 102 = 102 : x - Step 2: Convert to fraction form
56/102 = 102/x - Step 3: Cross multiply
56x = 102 × 102 - Step 4: Simplify right side
56x = 10,404 - Step 5: Solve for x
x = 10,404/56 - Step 6: Final answer
x = 185.79
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Why These Related Problems?
These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.