Finding the Third Proportional to 5,138.13 and 7,693.13
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Solution
The third proportional to 5,138.13 and 7,693.13 is: 11,518.63
Step by Step Solution
- Step 1: Write the proportion equation
5,138.13 : 7,693.13 = 7,693.13 : x - Step 2: Convert to fraction form
5,138.13/7,693.13 = 7,693.13/x - Step 3: Cross multiply
5,138.13x = 7,693.13 × 7,693.13 - Step 4: Simplify right side
5,138.13x = 59,184,172.27 - Step 5: Solve for x
x = 59,184,172.27/5,138.13 - Step 6: Final answer
x = 11,518.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.