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Finding the Third Proportional to 179,784 and 394,128

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Solution

The third proportional to 179,784 and 394,128 is: 864,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,784 : 394,128 = 394,128 : x
  2. Step 2: Convert to fraction form
    179,784/394,128 = 394,128/x
  3. Step 3: Cross multiply
    179,784x = 394,128 × 394,128
  4. Step 4: Simplify right side
    179,784x = 155,336,880,384
  5. Step 5: Solve for x
    x = 155,336,880,384/179,784
  6. Step 6: Final answer
    x = 864,019.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.