Finding the Third Proportional to 724 and 1,254
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Solution
The third proportional to 724 and 1,254 is: 2,171.98
Step by Step Solution
- Step 1: Write the proportion equation
724 : 1,254 = 1,254 : x - Step 2: Convert to fraction form
724/1,254 = 1,254/x - Step 3: Cross multiply
724x = 1,254 × 1,254 - Step 4: Simplify right side
724x = 1,572,516 - Step 5: Solve for x
x = 1,572,516/724 - Step 6: Final answer
x = 2,171.98
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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.