Finding the Third Proportional to 180,283.50 and 280,257.75
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Solution
The third proportional to 180,283.50 and 280,257.75 is: 435,671.63
Step by Step Solution
- Step 1: Write the proportion equation
180,283.50 : 280,257.75 = 280,257.75 : x - Step 2: Convert to fraction form
180,283.50/280,257.75 = 280,257.75/x - Step 3: Cross multiply
180,283.50x = 280,257.75 × 280,257.75 - Step 4: Simplify right side
180,283.50x = 78,544,406,435.06 - Step 5: Solve for x
x = 78,544,406,435.06/180,283.50 - Step 6: Final answer
x = 435,671.63
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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.