Finding the Third Proportional to 396,864 and 565,776
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Solution
The third proportional to 396,864 and 565,776 is: 806,579.79
Step by Step Solution
- Step 1: Write the proportion equation
396,864 : 565,776 = 565,776 : x - Step 2: Convert to fraction form
396,864/565,776 = 565,776/x - Step 3: Cross multiply
396,864x = 565,776 × 565,776 - Step 4: Simplify right side
396,864x = 320,102,482,176 - Step 5: Solve for x
x = 320,102,482,176/396,864 - Step 6: Final answer
x = 806,579.79
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.