Finding the Third Proportional to 157,249.50 and 209,502.75
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Solution
The third proportional to 157,249.50 and 209,502.75 is: 279,119.50
Step by Step Solution
- Step 1: Write the proportion equation
157,249.50 : 209,502.75 = 209,502.75 : x - Step 2: Convert to fraction form
157,249.50/209,502.75 = 209,502.75/x - Step 3: Cross multiply
157,249.50x = 209,502.75 × 209,502.75 - Step 4: Simplify right side
157,249.50x = 43,891,402,257.56 - Step 5: Solve for x
x = 43,891,402,257.56/157,249.50 - Step 6: Final answer
x = 279,119.50
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.