Finding the Third Proportional to 257,098.50 and 394,395.75
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Solution
The third proportional to 257,098.50 and 394,395.75 is: 605,013.28
Step by Step Solution
- Step 1: Write the proportion equation
257,098.50 : 394,395.75 = 394,395.75 : x - Step 2: Convert to fraction form
257,098.50/394,395.75 = 394,395.75/x - Step 3: Cross multiply
257,098.50x = 394,395.75 × 394,395.75 - Step 4: Simplify right side
257,098.50x = 155,548,007,618.06 - Step 5: Solve for x
x = 155,548,007,618.06/257,098.50 - Step 6: Final answer
x = 605,013.28
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.