Finding the Third Proportional to 9,406.50 and 20,109
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Solution
The third proportional to 9,406.50 and 20,109 is: 42,988.56
Step by Step Solution
- Step 1: Write the proportion equation
9,406.50 : 20,109 = 20,109 : x - Step 2: Convert to fraction form
9,406.50/20,109 = 20,109/x - Step 3: Cross multiply
9,406.50x = 20,109 × 20,109 - Step 4: Simplify right side
9,406.50x = 404,371,881 - Step 5: Solve for x
x = 404,371,881/9,406.50 - Step 6: Final answer
x = 42,988.56
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.