Finding the Third Proportional to 9,750 and 23,002.50
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Solution
The third proportional to 9,750 and 23,002.50 is: 54,268.21
Step by Step Solution
- Step 1: Write the proportion equation
9,750 : 23,002.50 = 23,002.50 : x - Step 2: Convert to fraction form
9,750/23,002.50 = 23,002.50/x - Step 3: Cross multiply
9,750x = 23,002.50 × 23,002.50 - Step 4: Simplify right side
9,750x = 529,115,006.25 - Step 5: Solve for x
x = 529,115,006.25/9,750 - Step 6: Final answer
x = 54,268.21
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.