Finding the Third Proportional to 1,298 and 1,919
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Solution
The third proportional to 1,298 and 1,919 is: 2,837.10
Step by Step Solution
- Step 1: Write the proportion equation
1,298 : 1,919 = 1,919 : x - Step 2: Convert to fraction form
1,298/1,919 = 1,919/x - Step 3: Cross multiply
1,298x = 1,919 × 1,919 - Step 4: Simplify right side
1,298x = 3,682,561 - Step 5: Solve for x
x = 3,682,561/1,298 - Step 6: Final answer
x = 2,837.10
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.