Finding the Third Proportional to 81,221 and 121,832
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Solution
The third proportional to 81,221 and 121,832 is: 182,748.75
Step by Step Solution
- Step 1: Write the proportion equation
81,221 : 121,832 = 121,832 : x - Step 2: Convert to fraction form
81,221/121,832 = 121,832/x - Step 3: Cross multiply
81,221x = 121,832 × 121,832 - Step 4: Simplify right side
81,221x = 14,843,036,224 - Step 5: Solve for x
x = 14,843,036,224/81,221 - Step 6: Final answer
x = 182,748.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.