Finding the Third Proportional to 906 and 1,946
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Solution
The third proportional to 906 and 1,946 is: 4,179.82
Step by Step Solution
- Step 1: Write the proportion equation
906 : 1,946 = 1,946 : x - Step 2: Convert to fraction form
906/1,946 = 1,946/x - Step 3: Cross multiply
906x = 1,946 × 1,946 - Step 4: Simplify right side
906x = 3,786,916 - Step 5: Solve for x
x = 3,786,916/906 - Step 6: Final answer
x = 4,179.82
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.