Finding the Third Proportional to 1,209.75 and 2,800.75
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Solution
The third proportional to 1,209.75 and 2,800.75 is: 6,484.15
Step by Step Solution
- Step 1: Write the proportion equation
1,209.75 : 2,800.75 = 2,800.75 : x - Step 2: Convert to fraction form
1,209.75/2,800.75 = 2,800.75/x - Step 3: Cross multiply
1,209.75x = 2,800.75 × 2,800.75 - Step 4: Simplify right side
1,209.75x = 7,844,200.56 - Step 5: Solve for x
x = 7,844,200.56/1,209.75 - Step 6: Final answer
x = 6,484.15
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.