Finding the Third Proportional to 10,480 and 14,768
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Solution
The third proportional to 10,480 and 14,768 is: 20,810.48
Step by Step Solution
- Step 1: Write the proportion equation
10,480 : 14,768 = 14,768 : x - Step 2: Convert to fraction form
10,480/14,768 = 14,768/x - Step 3: Cross multiply
10,480x = 14,768 × 14,768 - Step 4: Simplify right side
10,480x = 218,093,824 - Step 5: Solve for x
x = 218,093,824/10,480 - Step 6: Final answer
x = 20,810.48
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.