Finding the Third Proportional to 31,142 and 48,081
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Solution
The third proportional to 31,142 and 48,081 is: 74,233.59
Step by Step Solution
- Step 1: Write the proportion equation
31,142 : 48,081 = 48,081 : x - Step 2: Convert to fraction form
31,142/48,081 = 48,081/x - Step 3: Cross multiply
31,142x = 48,081 × 48,081 - Step 4: Simplify right side
31,142x = 2,311,782,561 - Step 5: Solve for x
x = 2,311,782,561/31,142 - Step 6: Final answer
x = 74,233.59
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.