Finding the Third Proportional to 306,852.75 and 412,764.75
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Solution
The third proportional to 306,852.75 and 412,764.75 is: 555,232.89
Step by Step Solution
- Step 1: Write the proportion equation
306,852.75 : 412,764.75 = 412,764.75 : x - Step 2: Convert to fraction form
306,852.75/412,764.75 = 412,764.75/x - Step 3: Cross multiply
306,852.75x = 412,764.75 × 412,764.75 - Step 4: Simplify right side
306,852.75x = 170,374,738,842.56 - Step 5: Solve for x
x = 170,374,738,842.56/306,852.75 - Step 6: Final answer
x = 555,232.89
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.