Finding the Third Proportional to 83.25 and 130.50
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Solution
The third proportional to 83.25 and 130.50 is: 204.57
Step by Step Solution
- Step 1: Write the proportion equation
83.25 : 130.50 = 130.50 : x - Step 2: Convert to fraction form
83.25/130.50 = 130.50/x - Step 3: Cross multiply
83.25x = 130.50 × 130.50 - Step 4: Simplify right side
83.25x = 17,030.25 - Step 5: Solve for x
x = 17,030.25/83.25 - Step 6: Final answer
x = 204.57
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.