Finding the Third Proportional to 619 and 1,102
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Solution
The third proportional to 619 and 1,102 is: 1,961.88
Step by Step Solution
- Step 1: Write the proportion equation
619 : 1,102 = 1,102 : x - Step 2: Convert to fraction form
619/1,102 = 1,102/x - Step 3: Cross multiply
619x = 1,102 × 1,102 - Step 4: Simplify right side
619x = 1,214,404 - Step 5: Solve for x
x = 1,214,404/619 - Step 6: Final answer
x = 1,961.88
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.