Finding the Third Proportional to 217,416 and 471,018
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Solution
The third proportional to 217,416 and 471,018 is: 1,020,430.68
Step by Step Solution
- Step 1: Write the proportion equation
217,416 : 471,018 = 471,018 : x - Step 2: Convert to fraction form
217,416/471,018 = 471,018/x - Step 3: Cross multiply
217,416x = 471,018 × 471,018 - Step 4: Simplify right side
217,416x = 221,857,956,324 - Step 5: Solve for x
x = 221,857,956,324/217,416 - Step 6: Final answer
x = 1,020,430.68
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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.