Finding the Third Proportional to 21,570 and 45,732
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Solution
The third proportional to 21,570 and 45,732 is: 96,959.47
Step by Step Solution
- Step 1: Write the proportion equation
21,570 : 45,732 = 45,732 : x - Step 2: Convert to fraction form
21,570/45,732 = 45,732/x - Step 3: Cross multiply
21,570x = 45,732 × 45,732 - Step 4: Simplify right side
21,570x = 2,091,415,824 - Step 5: Solve for x
x = 2,091,415,824/21,570 - Step 6: Final answer
x = 96,959.47
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.