Finding the Third Proportional to 8,902 and 12,462
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Solution
The third proportional to 8,902 and 12,462 is: 17,445.68
Step by Step Solution
- Step 1: Write the proportion equation
8,902 : 12,462 = 12,462 : x - Step 2: Convert to fraction form
8,902/12,462 = 12,462/x - Step 3: Cross multiply
8,902x = 12,462 × 12,462 - Step 4: Simplify right side
8,902x = 155,301,444 - Step 5: Solve for x
x = 155,301,444/8,902 - Step 6: Final answer
x = 17,445.68
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.