Finding the Third Proportional to 1,102.13 and 1,771.31
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Solution
The third proportional to 1,102.13 and 1,771.31 is: 2,846.82
Step by Step Solution
- Step 1: Write the proportion equation
1,102.13 : 1,771.31 = 1,771.31 : x - Step 2: Convert to fraction form
1,102.13/1,771.31 = 1,771.31/x - Step 3: Cross multiply
1,102.13x = 1,771.31 × 1,771.31 - Step 4: Simplify right side
1,102.13x = 3,137,547.97 - Step 5: Solve for x
x = 3,137,547.97/1,102.13 - Step 6: Final answer
x = 2,846.82
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.