Finding the Third Proportional to 7,420.50 and 8,230.50
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Solution
The third proportional to 7,420.50 and 8,230.50 is: 9,128.92
Step by Step Solution
- Step 1: Write the proportion equation
7,420.50 : 8,230.50 = 8,230.50 : x - Step 2: Convert to fraction form
7,420.50/8,230.50 = 8,230.50/x - Step 3: Cross multiply
7,420.50x = 8,230.50 × 8,230.50 - Step 4: Simplify right side
7,420.50x = 67,741,130.25 - Step 5: Solve for x
x = 67,741,130.25/7,420.50 - Step 6: Final answer
x = 9,128.92
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.