Finding the Third Proportional to 470,013 and 993,603
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Solution
The third proportional to 470,013 and 993,603 is: 2,100,467.27
Step by Step Solution
- Step 1: Write the proportion equation
470,013 : 993,603 = 993,603 : x - Step 2: Convert to fraction form
470,013/993,603 = 993,603/x - Step 3: Cross multiply
470,013x = 993,603 × 993,603 - Step 4: Simplify right side
470,013x = 987,246,921,609 - Step 5: Solve for x
x = 987,246,921,609/470,013 - Step 6: Final answer
x = 2,100,467.27
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.