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Finding the Third Proportional to 317,960 and 673,828

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Solution

The third proportional to 317,960 and 673,828 is: 1,427,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,960 : 673,828 = 673,828 : x
  2. Step 2: Convert to fraction form
    317,960/673,828 = 673,828/x
  3. Step 3: Cross multiply
    317,960x = 673,828 × 673,828
  4. Step 4: Simplify right side
    317,960x = 454,044,173,584
  5. Step 5: Solve for x
    x = 454,044,173,584/317,960
  6. Step 6: Final answer
    x = 1,427,991.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.