Finding the Third Proportional to 122,284.50 and 160,803.75
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Solution
The third proportional to 122,284.50 and 160,803.75 is: 211,456.45
Step by Step Solution
- Step 1: Write the proportion equation
122,284.50 : 160,803.75 = 160,803.75 : x - Step 2: Convert to fraction form
122,284.50/160,803.75 = 160,803.75/x - Step 3: Cross multiply
122,284.50x = 160,803.75 × 160,803.75 - Step 4: Simplify right side
122,284.50x = 25,857,846,014.06 - Step 5: Solve for x
x = 25,857,846,014.06/122,284.50 - Step 6: Final answer
x = 211,456.45
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.