Finding the Third Proportional to 76,416 and 114,624
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Solution
The third proportional to 76,416 and 114,624 is: 171,936
Step by Step Solution
- Step 1: Write the proportion equation
76,416 : 114,624 = 114,624 : x - Step 2: Convert to fraction form
76,416/114,624 = 114,624/x - Step 3: Cross multiply
76,416x = 114,624 × 114,624 - Step 4: Simplify right side
76,416x = 13,138,661,376 - Step 5: Solve for x
x = 13,138,661,376/76,416 - Step 6: Final answer
x = 171,936
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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.