Finding the Third Proportional to 81,909 and 178,641
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Solution
The third proportional to 81,909 and 178,641 is: 389,610.51
Step by Step Solution
- Step 1: Write the proportion equation
81,909 : 178,641 = 178,641 : x - Step 2: Convert to fraction form
81,909/178,641 = 178,641/x - Step 3: Cross multiply
81,909x = 178,641 × 178,641 - Step 4: Simplify right side
81,909x = 31,912,606,881 - Step 5: Solve for x
x = 31,912,606,881/81,909 - Step 6: Final answer
x = 389,610.51
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.