Finding the Third Proportional to 306,402.75 and 472,523.63
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Solution
The third proportional to 306,402.75 and 472,523.63 is: 728,709.44
Step by Step Solution
- Step 1: Write the proportion equation
306,402.75 : 472,523.63 = 472,523.63 : x - Step 2: Convert to fraction form
306,402.75/472,523.63 = 472,523.63/x - Step 3: Cross multiply
306,402.75x = 472,523.63 × 472,523.63 - Step 4: Simplify right side
306,402.75x = 223,278,576,183.14 - Step 5: Solve for x
x = 223,278,576,183.14/306,402.75 - Step 6: Final answer
x = 728,709.44
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.