Finding the Third Proportional to 72,350 and 105,698
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Solution
The third proportional to 72,350 and 105,698 is: 154,416.96
Step by Step Solution
- Step 1: Write the proportion equation
72,350 : 105,698 = 105,698 : x - Step 2: Convert to fraction form
72,350/105,698 = 105,698/x - Step 3: Cross multiply
72,350x = 105,698 × 105,698 - Step 4: Simplify right side
72,350x = 11,172,067,204 - Step 5: Solve for x
x = 11,172,067,204/72,350 - Step 6: Final answer
x = 154,416.96
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.