Finding the Third Proportional to 974 and 2,421
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Solution
The third proportional to 974 and 2,421 is: 6,017.70
Step by Step Solution
- Step 1: Write the proportion equation
974 : 2,421 = 2,421 : x - Step 2: Convert to fraction form
974/2,421 = 2,421/x - Step 3: Cross multiply
974x = 2,421 × 2,421 - Step 4: Simplify right side
974x = 5,861,241 - Step 5: Solve for x
x = 5,861,241/974 - Step 6: Final answer
x = 6,017.70
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Why These Related Problems?
These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.