Finding the Third Proportional to 1,728.84 and 2,659.08
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Solution
The third proportional to 1,728.84 and 2,659.08 is: 4,089.84
Step by Step Solution
- Step 1: Write the proportion equation
1,728.84 : 2,659.08 = 2,659.08 : x - Step 2: Convert to fraction form
1,728.84/2,659.08 = 2,659.08/x - Step 3: Cross multiply
1,728.84x = 2,659.08 × 2,659.08 - Step 4: Simplify right side
1,728.84x = 7,070,696.47 - Step 5: Solve for x
x = 7,070,696.47/1,728.84 - Step 6: Final answer
x = 4,089.84
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.