Finding the Third Proportional to 150,120 and 321,216
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Solution
The third proportional to 150,120 and 321,216 is: 687,314.94
Step by Step Solution
- Step 1: Write the proportion equation
150,120 : 321,216 = 321,216 : x - Step 2: Convert to fraction form
150,120/321,216 = 321,216/x - Step 3: Cross multiply
150,120x = 321,216 × 321,216 - Step 4: Simplify right side
150,120x = 103,179,718,656 - Step 5: Solve for x
x = 103,179,718,656/150,120 - Step 6: Final answer
x = 687,314.94
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.