Finding the Third Proportional to 23,767 and 33,226
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Solution
The third proportional to 23,767 and 33,226 is: 46,449.58
Step by Step Solution
- Step 1: Write the proportion equation
23,767 : 33,226 = 33,226 : x - Step 2: Convert to fraction form
23,767/33,226 = 33,226/x - Step 3: Cross multiply
23,767x = 33,226 × 33,226 - Step 4: Simplify right side
23,767x = 1,103,967,076 - Step 5: Solve for x
x = 1,103,967,076/23,767 - Step 6: Final answer
x = 46,449.58
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.