Finding the Third Proportional to 480 and 712.50
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Solution
The third proportional to 480 and 712.50 is: 1,057.62
Step by Step Solution
- Step 1: Write the proportion equation
480 : 712.50 = 712.50 : x - Step 2: Convert to fraction form
480/712.50 = 712.50/x - Step 3: Cross multiply
480x = 712.50 × 712.50 - Step 4: Simplify right side
480x = 507,656.25 - Step 5: Solve for x
x = 507,656.25/480 - Step 6: Final answer
x = 1,057.62
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.