Finding the Third Proportional to 31,282 and 65,152
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Solution
The third proportional to 31,282 and 65,152 is: 135,694.11
Step by Step Solution
- Step 1: Write the proportion equation
31,282 : 65,152 = 65,152 : x - Step 2: Convert to fraction form
31,282/65,152 = 65,152/x - Step 3: Cross multiply
31,282x = 65,152 × 65,152 - Step 4: Simplify right side
31,282x = 4,244,783,104 - Step 5: Solve for x
x = 4,244,783,104/31,282 - Step 6: Final answer
x = 135,694.11
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.