Finding the Third Proportional to 21,316 and 31,002
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Solution
The third proportional to 21,316 and 31,002 is: 45,089.32
Step by Step Solution
- Step 1: Write the proportion equation
21,316 : 31,002 = 31,002 : x - Step 2: Convert to fraction form
21,316/31,002 = 31,002/x - Step 3: Cross multiply
21,316x = 31,002 × 31,002 - Step 4: Simplify right side
21,316x = 961,124,004 - Step 5: Solve for x
x = 961,124,004/21,316 - Step 6: Final answer
x = 45,089.32
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.