Finding the Third Proportional to 1,371 and 1,419
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Solution
The third proportional to 1,371 and 1,419 is: 1,468.68
Step by Step Solution
- Step 1: Write the proportion equation
1,371 : 1,419 = 1,419 : x - Step 2: Convert to fraction form
1,371/1,419 = 1,419/x - Step 3: Cross multiply
1,371x = 1,419 × 1,419 - Step 4: Simplify right side
1,371x = 2,013,561 - Step 5: Solve for x
x = 2,013,561/1,371 - Step 6: Final answer
x = 1,468.68
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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.