Finding the Third Proportional to 224,856 and 478,842
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Solution
The third proportional to 224,856 and 478,842 is: 1,019,717.78
Step by Step Solution
- Step 1: Write the proportion equation
224,856 : 478,842 = 478,842 : x - Step 2: Convert to fraction form
224,856/478,842 = 478,842/x - Step 3: Cross multiply
224,856x = 478,842 × 478,842 - Step 4: Simplify right side
224,856x = 229,289,660,964 - Step 5: Solve for x
x = 229,289,660,964/224,856 - Step 6: Final answer
x = 1,019,717.78
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.