Finding the Third Proportional to 156 and 412.50
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Solution
The third proportional to 156 and 412.50 is: 1,090.75
Step by Step Solution
- Step 1: Write the proportion equation
156 : 412.50 = 412.50 : x - Step 2: Convert to fraction form
156/412.50 = 412.50/x - Step 3: Cross multiply
156x = 412.50 × 412.50 - Step 4: Simplify right side
156x = 170,156.25 - Step 5: Solve for x
x = 170,156.25/156 - Step 6: Final answer
x = 1,090.75
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Why These Related Problems?
These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.