Finding the Third Proportional to 107.50 and 148.43
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Solution
The third proportional to 107.50 and 148.43 is: 204.96
Step by Step Solution
- Step 1: Write the proportion equation
107.50 : 148.43 = 148.43 : x - Step 2: Convert to fraction form
107.50/148.43 = 148.43/x - Step 3: Cross multiply
107.50x = 148.43 × 148.43 - Step 4: Simplify right side
107.50x = 22,032.68 - Step 5: Solve for x
x = 22,032.68/107.50 - Step 6: Final answer
x = 204.96
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.