Finding the Third Proportional to 415,194.19 and 677,969.16
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Solution
The third proportional to 415,194.19 and 677,969.16 is: 1,107,053.50
Step by Step Solution
- Step 1: Write the proportion equation
415,194.19 : 677,969.16 = 677,969.16 : x - Step 2: Convert to fraction form
415,194.19/677,969.16 = 677,969.16/x - Step 3: Cross multiply
415,194.19x = 677,969.16 × 677,969.16 - Step 4: Simplify right side
415,194.19x = 459,642,176,826.34 - Step 5: Solve for x
x = 459,642,176,826.34/415,194.19 - Step 6: Final answer
x = 1,107,053.50
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.