Finding the Third Proportional to 505.50 and 1,030.50
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Solution
The third proportional to 505.50 and 1,030.50 is: 2,100.75
Step by Step Solution
- Step 1: Write the proportion equation
505.50 : 1,030.50 = 1,030.50 : x - Step 2: Convert to fraction form
505.50/1,030.50 = 1,030.50/x - Step 3: Cross multiply
505.50x = 1,030.50 × 1,030.50 - Step 4: Simplify right side
505.50x = 1,061,930.25 - Step 5: Solve for x
x = 1,061,930.25/505.50 - Step 6: Final answer
x = 2,100.75
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.