Finding the Third Proportional to 56,022.75 and 77,040
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Solution
The third proportional to 56,022.75 and 77,040 is: 105,941.99
Step by Step Solution
- Step 1: Write the proportion equation
56,022.75 : 77,040 = 77,040 : x - Step 2: Convert to fraction form
56,022.75/77,040 = 77,040/x - Step 3: Cross multiply
56,022.75x = 77,040 × 77,040 - Step 4: Simplify right side
56,022.75x = 5,935,161,600 - Step 5: Solve for x
x = 5,935,161,600/56,022.75 - Step 6: Final answer
x = 105,941.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.