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Finding the Third Proportional to 259,632 and 394,308

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Solution

The third proportional to 259,632 and 394,308 is: 598,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,632 : 394,308 = 394,308 : x
  2. Step 2: Convert to fraction form
    259,632/394,308 = 394,308/x
  3. Step 3: Cross multiply
    259,632x = 394,308 × 394,308
  4. Step 4: Simplify right side
    259,632x = 155,478,798,864
  5. Step 5: Solve for x
    x = 155,478,798,864/259,632
  6. Step 6: Final answer
    x = 598,842.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.