Finding the Third Proportional to 492,494 and 1,078,406
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Solution
The third proportional to 492,494 and 1,078,406 is: 2,361,367.86
Step by Step Solution
- Step 1: Write the proportion equation
492,494 : 1,078,406 = 1,078,406 : x - Step 2: Convert to fraction form
492,494/1,078,406 = 1,078,406/x - Step 3: Cross multiply
492,494x = 1,078,406 × 1,078,406 - Step 4: Simplify right side
492,494x = 1,162,959,500,836 - Step 5: Solve for x
x = 1,162,959,500,836/492,494 - Step 6: Final answer
x = 2,361,367.86
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.