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Finding the Third Proportional to 143,009 and 313,493

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Solution

The third proportional to 143,009 and 313,493 is: 687,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,009 : 313,493 = 313,493 : x
  2. Step 2: Convert to fraction form
    143,009/313,493 = 313,493/x
  3. Step 3: Cross multiply
    143,009x = 313,493 × 313,493
  4. Step 4: Simplify right side
    143,009x = 98,277,861,049
  5. Step 5: Solve for x
    x = 98,277,861,049/143,009
  6. Step 6: Final answer
    x = 687,214.52

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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.