Finding the Third Proportional to 78,816 and 115,920
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Solution
The third proportional to 78,816 and 115,920 is: 170,491.35
Step by Step Solution
- Step 1: Write the proportion equation
78,816 : 115,920 = 115,920 : x - Step 2: Convert to fraction form
78,816/115,920 = 115,920/x - Step 3: Cross multiply
78,816x = 115,920 × 115,920 - Step 4: Simplify right side
78,816x = 13,437,446,400 - Step 5: Solve for x
x = 13,437,446,400/78,816 - Step 6: Final answer
x = 170,491.35
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.