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Finding the Third Proportional to 118,546 and 279,832

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Solution

The third proportional to 118,546 and 279,832 is: 660,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,546 : 279,832 = 279,832 : x
  2. Step 2: Convert to fraction form
    118,546/279,832 = 279,832/x
  3. Step 3: Cross multiply
    118,546x = 279,832 × 279,832
  4. Step 4: Simplify right side
    118,546x = 78,305,948,224
  5. Step 5: Solve for x
    x = 78,305,948,224/118,546
  6. Step 6: Final answer
    x = 660,553.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.