Finding the Third Proportional to 178,424.75 and 382,789.75
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Solution
The third proportional to 178,424.75 and 382,789.75 is: 821,231.32
Step by Step Solution
- Step 1: Write the proportion equation
178,424.75 : 382,789.75 = 382,789.75 : x - Step 2: Convert to fraction form
178,424.75/382,789.75 = 382,789.75/x - Step 3: Cross multiply
178,424.75x = 382,789.75 × 382,789.75 - Step 4: Simplify right side
178,424.75x = 146,527,992,705.06 - Step 5: Solve for x
x = 146,527,992,705.06/178,424.75 - Step 6: Final answer
x = 821,231.32
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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.