Finding the Third Proportional to 494 and 1,210
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Solution
The third proportional to 494 and 1,210 is: 2,963.77
Step by Step Solution
- Step 1: Write the proportion equation
494 : 1,210 = 1,210 : x - Step 2: Convert to fraction form
494/1,210 = 1,210/x - Step 3: Cross multiply
494x = 1,210 × 1,210 - Step 4: Simplify right side
494x = 1,464,100 - Step 5: Solve for x
x = 1,464,100/494 - Step 6: Final answer
x = 2,963.77
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.