Finding the Third Proportional to 1,230 and 1,906.50
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Solution
The third proportional to 1,230 and 1,906.50 is: 2,955.08
Step by Step Solution
- Step 1: Write the proportion equation
1,230 : 1,906.50 = 1,906.50 : x - Step 2: Convert to fraction form
1,230/1,906.50 = 1,906.50/x - Step 3: Cross multiply
1,230x = 1,906.50 × 1,906.50 - Step 4: Simplify right side
1,230x = 3,634,742.25 - Step 5: Solve for x
x = 3,634,742.25/1,230 - Step 6: Final answer
x = 2,955.08
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.