Finding the Third Proportional to 51.75 and 103.50
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Solution
The third proportional to 51.75 and 103.50 is: 207
Step by Step Solution
- Step 1: Write the proportion equation
51.75 : 103.50 = 103.50 : x - Step 2: Convert to fraction form
51.75/103.50 = 103.50/x - Step 3: Cross multiply
51.75x = 103.50 × 103.50 - Step 4: Simplify right side
51.75x = 10,712.25 - Step 5: Solve for x
x = 10,712.25/51.75 - Step 6: Final answer
x = 207
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.