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Finding the Third Proportional to 156,767 and 340,912

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Solution

The third proportional to 156,767 and 340,912 is: 741,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,767 : 340,912 = 340,912 : x
  2. Step 2: Convert to fraction form
    156,767/340,912 = 340,912/x
  3. Step 3: Cross multiply
    156,767x = 340,912 × 340,912
  4. Step 4: Simplify right side
    156,767x = 116,220,991,744
  5. Step 5: Solve for x
    x = 116,220,991,744/156,767
  6. Step 6: Final answer
    x = 741,361.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.