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Finding the Third Proportional to 291,834 and 639,028

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Solution

The third proportional to 291,834 and 639,028 is: 1,399,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,834 : 639,028 = 639,028 : x
  2. Step 2: Convert to fraction form
    291,834/639,028 = 639,028/x
  3. Step 3: Cross multiply
    291,834x = 639,028 × 639,028
  4. Step 4: Simplify right side
    291,834x = 408,356,784,784
  5. Step 5: Solve for x
    x = 408,356,784,784/291,834
  6. Step 6: Final answer
    x = 1,399,277.62

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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.