Finding the Third Proportional to 72,032 and 109,043
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Solution
The third proportional to 72,032 and 109,043 is: 165,070.74
Step by Step Solution
- Step 1: Write the proportion equation
72,032 : 109,043 = 109,043 : x - Step 2: Convert to fraction form
72,032/109,043 = 109,043/x - Step 3: Cross multiply
72,032x = 109,043 × 109,043 - Step 4: Simplify right side
72,032x = 11,890,375,849 - Step 5: Solve for x
x = 11,890,375,849/72,032 - Step 6: Final answer
x = 165,070.74
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.