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Finding the Third Proportional to 209,007 and 313,983

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Solution

The third proportional to 209,007 and 313,983 is: 471,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,007 : 313,983 = 313,983 : x
  2. Step 2: Convert to fraction form
    209,007/313,983 = 313,983/x
  3. Step 3: Cross multiply
    209,007x = 313,983 × 313,983
  4. Step 4: Simplify right side
    209,007x = 98,585,324,289
  5. Step 5: Solve for x
    x = 98,585,324,289/209,007
  6. Step 6: Final answer
    x = 471,684.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.