Finding the Third Proportional to 22 and 47.31
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Solution
The third proportional to 22 and 47.31 is: 101.75
Step by Step Solution
- Step 1: Write the proportion equation
22 : 47.31 = 47.31 : x - Step 2: Convert to fraction form
22/47.31 = 47.31/x - Step 3: Cross multiply
22x = 47.31 × 47.31 - Step 4: Simplify right side
22x = 2,238.47 - Step 5: Solve for x
x = 2,238.47/22 - Step 6: Final answer
x = 101.75
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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.