Finding the Third Proportional to 1,176 and 1,428
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Solution
The third proportional to 1,176 and 1,428 is: 1,734
Step by Step Solution
- Step 1: Write the proportion equation
1,176 : 1,428 = 1,428 : x - Step 2: Convert to fraction form
1,176/1,428 = 1,428/x - Step 3: Cross multiply
1,176x = 1,428 × 1,428 - Step 4: Simplify right side
1,176x = 2,039,184 - Step 5: Solve for x
x = 2,039,184/1,176 - Step 6: Final answer
x = 1,734
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.