Finding the Third Proportional to 20,709 and 32,940
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Solution
The third proportional to 20,709 and 32,940 is: 52,394.78
Step by Step Solution
- Step 1: Write the proportion equation
20,709 : 32,940 = 32,940 : x - Step 2: Convert to fraction form
20,709/32,940 = 32,940/x - Step 3: Cross multiply
20,709x = 32,940 × 32,940 - Step 4: Simplify right side
20,709x = 1,085,043,600 - Step 5: Solve for x
x = 1,085,043,600/20,709 - Step 6: Final answer
x = 52,394.78
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.