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Finding the Third Proportional to 154,831 and 340,109

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Solution

The third proportional to 154,831 and 340,109 is: 747,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,831 : 340,109 = 340,109 : x
  2. Step 2: Convert to fraction form
    154,831/340,109 = 340,109/x
  3. Step 3: Cross multiply
    154,831x = 340,109 × 340,109
  4. Step 4: Simplify right side
    154,831x = 115,674,131,881
  5. Step 5: Solve for x
    x = 115,674,131,881/154,831
  6. Step 6: Final answer
    x = 747,099.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.