Finding the Third Proportional to 1,107.42 and 1,228.92
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Solution
The third proportional to 1,107.42 and 1,228.92 is: 1,363.75
Step by Step Solution
- Step 1: Write the proportion equation
1,107.42 : 1,228.92 = 1,228.92 : x - Step 2: Convert to fraction form
1,107.42/1,228.92 = 1,228.92/x - Step 3: Cross multiply
1,107.42x = 1,228.92 × 1,228.92 - Step 4: Simplify right side
1,107.42x = 1,510,248.97 - Step 5: Solve for x
x = 1,510,248.97/1,107.42 - Step 6: Final answer
x = 1,363.75
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.