Finding the Third Proportional to 8,142.75 and 17,358.75
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Solution
The third proportional to 8,142.75 and 17,358.75 is: 37,005.46
Step by Step Solution
- Step 1: Write the proportion equation
8,142.75 : 17,358.75 = 17,358.75 : x - Step 2: Convert to fraction form
8,142.75/17,358.75 = 17,358.75/x - Step 3: Cross multiply
8,142.75x = 17,358.75 × 17,358.75 - Step 4: Simplify right side
8,142.75x = 301,326,201.56 - Step 5: Solve for x
x = 301,326,201.56/8,142.75 - Step 6: Final answer
x = 37,005.46
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.