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Finding the Third Proportional to 269,536 and 394,480

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Solution

The third proportional to 269,536 and 394,480 is: 577,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,536 : 394,480 = 394,480 : x
  2. Step 2: Convert to fraction form
    269,536/394,480 = 394,480/x
  3. Step 3: Cross multiply
    269,536x = 394,480 × 394,480
  4. Step 4: Simplify right side
    269,536x = 155,614,470,400
  5. Step 5: Solve for x
    x = 155,614,470,400/269,536
  6. Step 6: Final answer
    x = 577,342.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.