Finding the Third Proportional to 412,858.13 and 581,397.75
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Solution
The third proportional to 412,858.13 and 581,397.75 is: 818,739.72
Step by Step Solution
- Step 1: Write the proportion equation
412,858.13 : 581,397.75 = 581,397.75 : x - Step 2: Convert to fraction form
412,858.13/581,397.75 = 581,397.75/x - Step 3: Cross multiply
412,858.13x = 581,397.75 × 581,397.75 - Step 4: Simplify right side
412,858.13x = 338,023,343,705.06 - Step 5: Solve for x
x = 338,023,343,705.06/412,858.13 - Step 6: Final answer
x = 818,739.72
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.