Finding the Third Proportional to 1,431.84 and 2,511.84
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Solution
The third proportional to 1,431.84 and 2,511.84 is: 4,406.46
Step by Step Solution
- Step 1: Write the proportion equation
1,431.84 : 2,511.84 = 2,511.84 : x - Step 2: Convert to fraction form
1,431.84/2,511.84 = 2,511.84/x - Step 3: Cross multiply
1,431.84x = 2,511.84 × 2,511.84 - Step 4: Simplify right side
1,431.84x = 6,309,359.02 - Step 5: Solve for x
x = 6,309,359.02/1,431.84 - Step 6: Final answer
x = 4,406.46
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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.