Finding the Third Proportional to 137 and 169.50
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Solution
The third proportional to 137 and 169.50 is: 209.71
Step by Step Solution
- Step 1: Write the proportion equation
137 : 169.50 = 169.50 : x - Step 2: Convert to fraction form
137/169.50 = 169.50/x - Step 3: Cross multiply
137x = 169.50 × 169.50 - Step 4: Simplify right side
137x = 28,730.25 - Step 5: Solve for x
x = 28,730.25/137 - Step 6: Final answer
x = 209.71
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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.