Finding the Third Proportional to 320,415.75 and 498,119.63
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Solution
The third proportional to 320,415.75 and 498,119.63 is: 774,378.79
Step by Step Solution
- Step 1: Write the proportion equation
320,415.75 : 498,119.63 = 498,119.63 : x - Step 2: Convert to fraction form
320,415.75/498,119.63 = 498,119.63/x - Step 3: Cross multiply
320,415.75x = 498,119.63 × 498,119.63 - Step 4: Simplify right side
320,415.75x = 248,123,160,810.14 - Step 5: Solve for x
x = 248,123,160,810.14/320,415.75 - Step 6: Final answer
x = 774,378.79
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.