Finding the Third Proportional to 484 and 1,298
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Solution
The third proportional to 484 and 1,298 is: 3,481
Step by Step Solution
- Step 1: Write the proportion equation
484 : 1,298 = 1,298 : x - Step 2: Convert to fraction form
484/1,298 = 1,298/x - Step 3: Cross multiply
484x = 1,298 × 1,298 - Step 4: Simplify right side
484x = 1,684,804 - Step 5: Solve for x
x = 1,684,804/484 - Step 6: Final answer
x = 3,481
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These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.