Finding the Third Proportional to 320,494 and 498,222
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Solution
The third proportional to 320,494 and 498,222 is: 774,507.98
Step by Step Solution
- Step 1: Write the proportion equation
320,494 : 498,222 = 498,222 : x - Step 2: Convert to fraction form
320,494/498,222 = 498,222/x - Step 3: Cross multiply
320,494x = 498,222 × 498,222 - Step 4: Simplify right side
320,494x = 248,225,161,284 - Step 5: Solve for x
x = 248,225,161,284/320,494 - Step 6: Final answer
x = 774,507.98
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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.