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Finding the Third Proportional to 293,958 and 638,028

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Solution

The third proportional to 293,958 and 638,028 is: 1,384,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,958 : 638,028 = 638,028 : x
  2. Step 2: Convert to fraction form
    293,958/638,028 = 638,028/x
  3. Step 3: Cross multiply
    293,958x = 638,028 × 638,028
  4. Step 4: Simplify right side
    293,958x = 407,079,728,784
  5. Step 5: Solve for x
    x = 407,079,728,784/293,958
  6. Step 6: Final answer
    x = 1,384,822.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.