Finding the Third Proportional to 47,020 and 72,852
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Solution
The third proportional to 47,020 and 72,852 is: 112,875.67
Step by Step Solution
- Step 1: Write the proportion equation
47,020 : 72,852 = 72,852 : x - Step 2: Convert to fraction form
47,020/72,852 = 72,852/x - Step 3: Cross multiply
47,020x = 72,852 × 72,852 - Step 4: Simplify right side
47,020x = 5,307,413,904 - Step 5: Solve for x
x = 5,307,413,904/47,020 - Step 6: Final answer
x = 112,875.67
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.