Finding the Third Proportional to 498 and 1,347
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Solution
The third proportional to 498 and 1,347 is: 3,643.39
Step by Step Solution
- Step 1: Write the proportion equation
498 : 1,347 = 1,347 : x - Step 2: Convert to fraction form
498/1,347 = 1,347/x - Step 3: Cross multiply
498x = 1,347 × 1,347 - Step 4: Simplify right side
498x = 1,814,409 - Step 5: Solve for x
x = 1,814,409/498 - Step 6: Final answer
x = 3,643.39
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.