Finding the Third Proportional to 2,819 and 6,497
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Solution
The third proportional to 2,819 and 6,497 is: 14,973.75
Step by Step Solution
- Step 1: Write the proportion equation
2,819 : 6,497 = 6,497 : x - Step 2: Convert to fraction form
2,819/6,497 = 6,497/x - Step 3: Cross multiply
2,819x = 6,497 × 6,497 - Step 4: Simplify right side
2,819x = 42,211,009 - Step 5: Solve for x
x = 42,211,009/2,819 - Step 6: Final answer
x = 14,973.75
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.