Finding the Third Proportional to 724 and 1,624
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Solution
The third proportional to 724 and 1,624 is: 3,642.78
Step by Step Solution
- Step 1: Write the proportion equation
724 : 1,624 = 1,624 : x - Step 2: Convert to fraction form
724/1,624 = 1,624/x - Step 3: Cross multiply
724x = 1,624 × 1,624 - Step 4: Simplify right side
724x = 2,637,376 - Step 5: Solve for x
x = 2,637,376/724 - Step 6: Final answer
x = 3,642.78
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Why These Related Problems?
These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.