Finding the Third Proportional to 10,776 and 22,830
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Solution
The third proportional to 10,776 and 22,830 is: 48,367.57
Step by Step Solution
- Step 1: Write the proportion equation
10,776 : 22,830 = 22,830 : x - Step 2: Convert to fraction form
10,776/22,830 = 22,830/x - Step 3: Cross multiply
10,776x = 22,830 × 22,830 - Step 4: Simplify right side
10,776x = 521,208,900 - Step 5: Solve for x
x = 521,208,900/10,776 - Step 6: Final answer
x = 48,367.57
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.