Finding the Third Proportional to 197,774 and 438,256
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Solution
The third proportional to 197,774 and 438,256 is: 971,150.51
Step by Step Solution
- Step 1: Write the proportion equation
197,774 : 438,256 = 438,256 : x - Step 2: Convert to fraction form
197,774/438,256 = 438,256/x - Step 3: Cross multiply
197,774x = 438,256 × 438,256 - Step 4: Simplify right side
197,774x = 192,068,321,536 - Step 5: Solve for x
x = 192,068,321,536/197,774 - Step 6: Final answer
x = 971,150.51
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.