Finding the Third Proportional to 19,897 and 31,056
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Solution
The third proportional to 19,897 and 31,056 is: 48,473.39
Step by Step Solution
- Step 1: Write the proportion equation
19,897 : 31,056 = 31,056 : x - Step 2: Convert to fraction form
19,897/31,056 = 31,056/x - Step 3: Cross multiply
19,897x = 31,056 × 31,056 - Step 4: Simplify right side
19,897x = 964,475,136 - Step 5: Solve for x
x = 964,475,136/19,897 - Step 6: Final answer
x = 48,473.39
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.