Finding the Third Proportional to 216,853 and 469,906
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Solution
The third proportional to 216,853 and 469,906 is: 1,018,254.99
Step by Step Solution
- Step 1: Write the proportion equation
216,853 : 469,906 = 469,906 : x - Step 2: Convert to fraction form
216,853/469,906 = 469,906/x - Step 3: Cross multiply
216,853x = 469,906 × 469,906 - Step 4: Simplify right side
216,853x = 220,811,648,836 - Step 5: Solve for x
x = 220,811,648,836/216,853 - Step 6: Final answer
x = 1,018,254.99
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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.