Finding the Third Proportional to 20,430.75 and 31,239.75
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Solution
The third proportional to 20,430.75 and 31,239.75 is: 47,767.31
Step by Step Solution
- Step 1: Write the proportion equation
20,430.75 : 31,239.75 = 31,239.75 : x - Step 2: Convert to fraction form
20,430.75/31,239.75 = 31,239.75/x - Step 3: Cross multiply
20,430.75x = 31,239.75 × 31,239.75 - Step 4: Simplify right side
20,430.75x = 975,921,980.06 - Step 5: Solve for x
x = 975,921,980.06/20,430.75 - Step 6: Final answer
x = 47,767.31
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.