Finding the Third Proportional to 81,685 and 175,884
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Solution
The third proportional to 81,685 and 175,884 is: 378,713.12
Step by Step Solution
- Step 1: Write the proportion equation
81,685 : 175,884 = 175,884 : x - Step 2: Convert to fraction form
81,685/175,884 = 175,884/x - Step 3: Cross multiply
81,685x = 175,884 × 175,884 - Step 4: Simplify right side
81,685x = 30,935,181,456 - Step 5: Solve for x
x = 30,935,181,456/81,685 - Step 6: Final answer
x = 378,713.12
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.