Finding the Third Proportional to 480 and 1,297
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Solution
The third proportional to 480 and 1,297 is: 3,504.60
Step by Step Solution
- Step 1: Write the proportion equation
480 : 1,297 = 1,297 : x - Step 2: Convert to fraction form
480/1,297 = 1,297/x - Step 3: Cross multiply
480x = 1,297 × 1,297 - Step 4: Simplify right side
480x = 1,682,209 - Step 5: Solve for x
x = 1,682,209/480 - Step 6: Final answer
x = 3,504.60
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.