Finding the Third Proportional to 728 and 972
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Solution
The third proportional to 728 and 972 is: 1,297.78
Step by Step Solution
- Step 1: Write the proportion equation
728 : 972 = 972 : x - Step 2: Convert to fraction form
728/972 = 972/x - Step 3: Cross multiply
728x = 972 × 972 - Step 4: Simplify right side
728x = 944,784 - Step 5: Solve for x
x = 944,784/728 - Step 6: Final answer
x = 1,297.78
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.