Finding the Third Proportional to 10,475 and 15,397
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Solution
The third proportional to 10,475 and 15,397 is: 22,631.75
Step by Step Solution
- Step 1: Write the proportion equation
10,475 : 15,397 = 15,397 : x - Step 2: Convert to fraction form
10,475/15,397 = 15,397/x - Step 3: Cross multiply
10,475x = 15,397 × 15,397 - Step 4: Simplify right side
10,475x = 237,067,609 - Step 5: Solve for x
x = 237,067,609/10,475 - Step 6: Final answer
x = 22,631.75
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.