Finding the Third Proportional to 422,630 and 654,940
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Solution
The third proportional to 422,630 and 654,940 is: 1,014,945.47
Step by Step Solution
- Step 1: Write the proportion equation
422,630 : 654,940 = 654,940 : x - Step 2: Convert to fraction form
422,630/654,940 = 654,940/x - Step 3: Cross multiply
422,630x = 654,940 × 654,940 - Step 4: Simplify right side
422,630x = 428,946,403,600 - Step 5: Solve for x
x = 428,946,403,600/422,630 - Step 6: Final answer
x = 1,014,945.47
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.