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Finding the Third Proportional to 317,958 and 673,824

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Solution

The third proportional to 317,958 and 673,824 is: 1,427,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,958 : 673,824 = 673,824 : x
  2. Step 2: Convert to fraction form
    317,958/673,824 = 673,824/x
  3. Step 3: Cross multiply
    317,958x = 673,824 × 673,824
  4. Step 4: Simplify right side
    317,958x = 454,038,782,976
  5. Step 5: Solve for x
    x = 454,038,782,976/317,958
  6. Step 6: Final answer
    x = 1,427,983.52

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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.