Finding the Third Proportional to 23,846 and 32,386
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Solution
The third proportional to 23,846 and 32,386 is: 43,984.44
Step by Step Solution
- Step 1: Write the proportion equation
23,846 : 32,386 = 32,386 : x - Step 2: Convert to fraction form
23,846/32,386 = 32,386/x - Step 3: Cross multiply
23,846x = 32,386 × 32,386 - Step 4: Simplify right side
23,846x = 1,048,852,996 - Step 5: Solve for x
x = 1,048,852,996/23,846 - Step 6: Final answer
x = 43,984.44
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.