Finding the Third Proportional to 45,142 and 67,715
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Solution
The third proportional to 45,142 and 67,715 is: 101,575.50
Step by Step Solution
- Step 1: Write the proportion equation
45,142 : 67,715 = 67,715 : x - Step 2: Convert to fraction form
45,142/67,715 = 67,715/x - Step 3: Cross multiply
45,142x = 67,715 × 67,715 - Step 4: Simplify right side
45,142x = 4,585,321,225 - Step 5: Solve for x
x = 4,585,321,225/45,142 - Step 6: Final answer
x = 101,575.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.