Finding the Third Proportional to 7,524.50 and 11,705.50
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Solution
The third proportional to 7,524.50 and 11,705.50 is: 18,209.68
Step by Step Solution
- Step 1: Write the proportion equation
7,524.50 : 11,705.50 = 11,705.50 : x - Step 2: Convert to fraction form
7,524.50/11,705.50 = 11,705.50/x - Step 3: Cross multiply
7,524.50x = 11,705.50 × 11,705.50 - Step 4: Simplify right side
7,524.50x = 137,018,730.25 - Step 5: Solve for x
x = 137,018,730.25/7,524.50 - Step 6: Final answer
x = 18,209.68
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.