Finding the Third Proportional to 9,630 and 21,022
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Solution
The third proportional to 9,630 and 21,022 is: 45,890.39
Step by Step Solution
- Step 1: Write the proportion equation
9,630 : 21,022 = 21,022 : x - Step 2: Convert to fraction form
9,630/21,022 = 21,022/x - Step 3: Cross multiply
9,630x = 21,022 × 21,022 - Step 4: Simplify right side
9,630x = 441,924,484 - Step 5: Solve for x
x = 441,924,484/9,630 - Step 6: Final answer
x = 45,890.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.