Finding the Third Proportional to 748 and 899
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Solution
The third proportional to 748 and 899 is: 1,080.48
Step by Step Solution
- Step 1: Write the proportion equation
748 : 899 = 899 : x - Step 2: Convert to fraction form
748/899 = 899/x - Step 3: Cross multiply
748x = 899 × 899 - Step 4: Simplify right side
748x = 808,201 - Step 5: Solve for x
x = 808,201/748 - Step 6: Final answer
x = 1,080.48
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.