Finding the Third Proportional to 984 and 1,428
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Solution
The third proportional to 984 and 1,428 is: 2,072.34
Step by Step Solution
- Step 1: Write the proportion equation
984 : 1,428 = 1,428 : x - Step 2: Convert to fraction form
984/1,428 = 1,428/x - Step 3: Cross multiply
984x = 1,428 × 1,428 - Step 4: Simplify right side
984x = 2,039,184 - Step 5: Solve for x
x = 2,039,184/984 - Step 6: Final answer
x = 2,072.34
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.