Finding the Third Proportional to 109,270 and 164,909
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Solution
The third proportional to 109,270 and 164,909 is: 248,878.73
Step by Step Solution
- Step 1: Write the proportion equation
109,270 : 164,909 = 164,909 : x - Step 2: Convert to fraction form
109,270/164,909 = 164,909/x - Step 3: Cross multiply
109,270x = 164,909 × 164,909 - Step 4: Simplify right side
109,270x = 27,194,978,281 - Step 5: Solve for x
x = 27,194,978,281/109,270 - Step 6: Final answer
x = 248,878.73
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.