Finding the Third Proportional to 1,053.75 and 1,580.75
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Solution
The third proportional to 1,053.75 and 1,580.75 is: 2,371.31
Step by Step Solution
- Step 1: Write the proportion equation
1,053.75 : 1,580.75 = 1,580.75 : x - Step 2: Convert to fraction form
1,053.75/1,580.75 = 1,580.75/x - Step 3: Cross multiply
1,053.75x = 1,580.75 × 1,580.75 - Step 4: Simplify right side
1,053.75x = 2,498,770.56 - Step 5: Solve for x
x = 2,498,770.56/1,053.75 - Step 6: Final answer
x = 2,371.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.