Finding the Third Proportional to 27,720 and 59,409
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Solution
The third proportional to 27,720 and 59,409 is: 127,324.29
Step by Step Solution
- Step 1: Write the proportion equation
27,720 : 59,409 = 59,409 : x - Step 2: Convert to fraction form
27,720/59,409 = 59,409/x - Step 3: Cross multiply
27,720x = 59,409 × 59,409 - Step 4: Simplify right side
27,720x = 3,529,429,281 - Step 5: Solve for x
x = 3,529,429,281/27,720 - Step 6: Final answer
x = 127,324.29
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.