Finding the Third Proportional to 429,830 and 923,089
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Solution
The third proportional to 429,830 and 923,089 is: 1,982,396.07
Step by Step Solution
- Step 1: Write the proportion equation
429,830 : 923,089 = 923,089 : x - Step 2: Convert to fraction form
429,830/923,089 = 923,089/x - Step 3: Cross multiply
429,830x = 923,089 × 923,089 - Step 4: Simplify right side
429,830x = 852,093,301,921 - Step 5: Solve for x
x = 852,093,301,921/429,830 - Step 6: Final answer
x = 1,982,396.07
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.