Finding the Third Proportional to 47,000 and 72,804
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Solution
The third proportional to 47,000 and 72,804 is: 112,774.95
Step by Step Solution
- Step 1: Write the proportion equation
47,000 : 72,804 = 72,804 : x - Step 2: Convert to fraction form
47,000/72,804 = 72,804/x - Step 3: Cross multiply
47,000x = 72,804 × 72,804 - Step 4: Simplify right side
47,000x = 5,300,422,416 - Step 5: Solve for x
x = 5,300,422,416/47,000 - Step 6: Final answer
x = 112,774.95
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.