Finding the Third Proportional to 218,832 and 471,140
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Solution
The third proportional to 218,832 and 471,140 is: 1,014,353.02
Step by Step Solution
- Step 1: Write the proportion equation
218,832 : 471,140 = 471,140 : x - Step 2: Convert to fraction form
218,832/471,140 = 471,140/x - Step 3: Cross multiply
218,832x = 471,140 × 471,140 - Step 4: Simplify right side
218,832x = 221,972,899,600 - Step 5: Solve for x
x = 221,972,899,600/218,832 - Step 6: Final answer
x = 1,014,353.02
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.