Finding the Third Proportional to 75,581 and 164,769
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Solution
The third proportional to 75,581 and 164,769 is: 359,201.70
Step by Step Solution
- Step 1: Write the proportion equation
75,581 : 164,769 = 164,769 : x - Step 2: Convert to fraction form
75,581/164,769 = 164,769/x - Step 3: Cross multiply
75,581x = 164,769 × 164,769 - Step 4: Simplify right side
75,581x = 27,148,823,361 - Step 5: Solve for x
x = 27,148,823,361/75,581 - Step 6: Final answer
x = 359,201.70
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.