Finding the Third Proportional to 270,508.50 and 389,643.75
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Solution
The third proportional to 270,508.50 and 389,643.75 is: 561,247.62
Step by Step Solution
- Step 1: Write the proportion equation
270,508.50 : 389,643.75 = 389,643.75 : x - Step 2: Convert to fraction form
270,508.50/389,643.75 = 389,643.75/x - Step 3: Cross multiply
270,508.50x = 389,643.75 × 389,643.75 - Step 4: Simplify right side
270,508.50x = 151,822,251,914.06 - Step 5: Solve for x
x = 151,822,251,914.06/270,508.50 - Step 6: Final answer
x = 561,247.62
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.