Finding the Third Proportional to 20,784 and 33,342
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Solution
The third proportional to 20,784 and 33,342 is: 53,487.73
Step by Step Solution
- Step 1: Write the proportion equation
20,784 : 33,342 = 33,342 : x - Step 2: Convert to fraction form
20,784/33,342 = 33,342/x - Step 3: Cross multiply
20,784x = 33,342 × 33,342 - Step 4: Simplify right side
20,784x = 1,111,688,964 - Step 5: Solve for x
x = 1,111,688,964/20,784 - Step 6: Final answer
x = 53,487.73
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.