Finding the Third Proportional to 9,902 and 13,035
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Solution
The third proportional to 9,902 and 13,035 is: 17,159.28
Step by Step Solution
- Step 1: Write the proportion equation
9,902 : 13,035 = 13,035 : x - Step 2: Convert to fraction form
9,902/13,035 = 13,035/x - Step 3: Cross multiply
9,902x = 13,035 × 13,035 - Step 4: Simplify right side
9,902x = 169,911,225 - Step 5: Solve for x
x = 169,911,225/9,902 - Step 6: Final answer
x = 17,159.28
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.