Finding the Third Proportional to 47,354 and 71,895
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Solution
The third proportional to 47,354 and 71,895 is: 109,154.26
Step by Step Solution
- Step 1: Write the proportion equation
47,354 : 71,895 = 71,895 : x - Step 2: Convert to fraction form
47,354/71,895 = 71,895/x - Step 3: Cross multiply
47,354x = 71,895 × 71,895 - Step 4: Simplify right side
47,354x = 5,168,891,025 - Step 5: Solve for x
x = 5,168,891,025/47,354 - Step 6: Final answer
x = 109,154.26
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.