Finding the Third Proportional to 974 and 2,126
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Solution
The third proportional to 974 and 2,126 is: 4,640.53
Step by Step Solution
- Step 1: Write the proportion equation
974 : 2,126 = 2,126 : x - Step 2: Convert to fraction form
974/2,126 = 2,126/x - Step 3: Cross multiply
974x = 2,126 × 2,126 - Step 4: Simplify right side
974x = 4,519,876 - Step 5: Solve for x
x = 4,519,876/974 - Step 6: Final answer
x = 4,640.53
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.