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Finding the Third Proportional to 259,468 and 394,434

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Solution

The third proportional to 259,468 and 394,434 is: 599,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,468 : 394,434 = 394,434 : x
  2. Step 2: Convert to fraction form
    259,468/394,434 = 394,434/x
  3. Step 3: Cross multiply
    259,468x = 394,434 × 394,434
  4. Step 4: Simplify right side
    259,468x = 155,578,180,356
  5. Step 5: Solve for x
    x = 155,578,180,356/259,468
  6. Step 6: Final answer
    x = 599,604.50

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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.