Finding the Third Proportional to 159.47 and 216.42
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Solution
The third proportional to 159.47 and 216.42 is: 293.72
Step by Step Solution
- Step 1: Write the proportion equation
159.47 : 216.42 = 216.42 : x - Step 2: Convert to fraction form
159.47/216.42 = 216.42/x - Step 3: Cross multiply
159.47x = 216.42 × 216.42 - Step 4: Simplify right side
159.47x = 46,838.43 - Step 5: Solve for x
x = 46,838.43/159.47 - Step 6: Final answer
x = 293.72
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.