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Finding the Third Proportional to 268,482 and 394,915

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Solution

The third proportional to 268,482 and 394,915 is: 580,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,482 : 394,915 = 394,915 : x
  2. Step 2: Convert to fraction form
    268,482/394,915 = 394,915/x
  3. Step 3: Cross multiply
    268,482x = 394,915 × 394,915
  4. Step 4: Simplify right side
    268,482x = 155,957,857,225
  5. Step 5: Solve for x
    x = 155,957,857,225/268,482
  6. Step 6: Final answer
    x = 580,887.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.