Finding the Third Proportional to 19,827 and 28,996
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Solution
The third proportional to 19,827 and 28,996 is: 42,405.21
Step by Step Solution
- Step 1: Write the proportion equation
19,827 : 28,996 = 28,996 : x - Step 2: Convert to fraction form
19,827/28,996 = 28,996/x - Step 3: Cross multiply
19,827x = 28,996 × 28,996 - Step 4: Simplify right side
19,827x = 840,768,016 - Step 5: Solve for x
x = 840,768,016/19,827 - Step 6: Final answer
x = 42,405.21
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.