Finding the Third Proportional to 942 and 2,124
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Solution
The third proportional to 942 and 2,124 is: 4,789.15
Step by Step Solution
- Step 1: Write the proportion equation
942 : 2,124 = 2,124 : x - Step 2: Convert to fraction form
942/2,124 = 2,124/x - Step 3: Cross multiply
942x = 2,124 × 2,124 - Step 4: Simplify right side
942x = 4,511,376 - Step 5: Solve for x
x = 4,511,376/942 - Step 6: Final answer
x = 4,789.15
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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.