Finding the Third Proportional to 102,423 and 213,021
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Solution
The third proportional to 102,423 and 213,021 is: 443,044.50
Step by Step Solution
- Step 1: Write the proportion equation
102,423 : 213,021 = 213,021 : x - Step 2: Convert to fraction form
102,423/213,021 = 213,021/x - Step 3: Cross multiply
102,423x = 213,021 × 213,021 - Step 4: Simplify right side
102,423x = 45,377,946,441 - Step 5: Solve for x
x = 45,377,946,441/102,423 - Step 6: Final answer
x = 443,044.50
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.