Finding the Third Proportional to 72,786 and 110,493
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Solution
The third proportional to 72,786 and 110,493 is: 167,734.22
Step by Step Solution
- Step 1: Write the proportion equation
72,786 : 110,493 = 110,493 : x - Step 2: Convert to fraction form
72,786/110,493 = 110,493/x - Step 3: Cross multiply
72,786x = 110,493 × 110,493 - Step 4: Simplify right side
72,786x = 12,208,703,049 - Step 5: Solve for x
x = 12,208,703,049/72,786 - Step 6: Final answer
x = 167,734.22
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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.