Finding the Third Proportional to 206,534 and 305,963
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Solution
The third proportional to 206,534 and 305,963 is: 453,258.82
Step by Step Solution
- Step 1: Write the proportion equation
206,534 : 305,963 = 305,963 : x - Step 2: Convert to fraction form
206,534/305,963 = 305,963/x - Step 3: Cross multiply
206,534x = 305,963 × 305,963 - Step 4: Simplify right side
206,534x = 93,613,357,369 - Step 5: Solve for x
x = 93,613,357,369/206,534 - Step 6: Final answer
x = 453,258.82
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.