Finding the Third Proportional to 505,938 and 1,077,418
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Solution
The third proportional to 505,938 and 1,077,418 is: 2,294,410.67
Step by Step Solution
- Step 1: Write the proportion equation
505,938 : 1,077,418 = 1,077,418 : x - Step 2: Convert to fraction form
505,938/1,077,418 = 1,077,418/x - Step 3: Cross multiply
505,938x = 1,077,418 × 1,077,418 - Step 4: Simplify right side
505,938x = 1,160,829,546,724 - Step 5: Solve for x
x = 1,160,829,546,724/505,938 - Step 6: Final answer
x = 2,294,410.67
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.