Finding the Third Proportional to 217,406 and 471,000
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Solution
The third proportional to 217,406 and 471,000 is: 1,020,399.62
Step by Step Solution
- Step 1: Write the proportion equation
217,406 : 471,000 = 471,000 : x - Step 2: Convert to fraction form
217,406/471,000 = 471,000/x - Step 3: Cross multiply
217,406x = 471,000 × 471,000 - Step 4: Simplify right side
217,406x = 221,841,000,000 - Step 5: Solve for x
x = 221,841,000,000/217,406 - Step 6: Final answer
x = 1,020,399.62
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.