Finding the Third Proportional to 9,756 and 19,810
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Solution
The third proportional to 9,756 and 19,810 is: 40,225.10
Step by Step Solution
- Step 1: Write the proportion equation
9,756 : 19,810 = 19,810 : x - Step 2: Convert to fraction form
9,756/19,810 = 19,810/x - Step 3: Cross multiply
9,756x = 19,810 × 19,810 - Step 4: Simplify right side
9,756x = 392,436,100 - Step 5: Solve for x
x = 392,436,100/9,756 - Step 6: Final answer
x = 40,225.10
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.