Finding the Third Proportional to 1,728.84 and 2,454.05
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Solution
The third proportional to 1,728.84 and 2,454.05 is: 3,483.45
Step by Step Solution
- Step 1: Write the proportion equation
1,728.84 : 2,454.05 = 2,454.05 : x - Step 2: Convert to fraction form
1,728.84/2,454.05 = 2,454.05/x - Step 3: Cross multiply
1,728.84x = 2,454.05 × 2,454.05 - Step 4: Simplify right side
1,728.84x = 6,022,346.06 - Step 5: Solve for x
x = 6,022,346.06/1,728.84 - Step 6: Final answer
x = 3,483.45
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.