Finding the Third Proportional to 320,864 and 493,234
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Solution
The third proportional to 320,864 and 493,234 is: 758,202.16
Step by Step Solution
- Step 1: Write the proportion equation
320,864 : 493,234 = 493,234 : x - Step 2: Convert to fraction form
320,864/493,234 = 493,234/x - Step 3: Cross multiply
320,864x = 493,234 × 493,234 - Step 4: Simplify right side
320,864x = 243,279,778,756 - Step 5: Solve for x
x = 243,279,778,756/320,864 - Step 6: Final answer
x = 758,202.16
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.