Finding the Third Proportional to 307,704 and 646,504
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Solution
The third proportional to 307,704 and 646,504 is: 1,358,342.50
Step by Step Solution
- Step 1: Write the proportion equation
307,704 : 646,504 = 646,504 : x - Step 2: Convert to fraction form
307,704/646,504 = 646,504/x - Step 3: Cross multiply
307,704x = 646,504 × 646,504 - Step 4: Simplify right side
307,704x = 417,967,422,016 - Step 5: Solve for x
x = 417,967,422,016/307,704 - Step 6: Final answer
x = 1,358,342.50
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.