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Finding the Third Proportional to 128,208 and 279,744

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Solution

The third proportional to 128,208 and 279,744 is: 610,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,208 : 279,744 = 279,744 : x
  2. Step 2: Convert to fraction form
    128,208/279,744 = 279,744/x
  3. Step 3: Cross multiply
    128,208x = 279,744 × 279,744
  4. Step 4: Simplify right side
    128,208x = 78,256,705,536
  5. Step 5: Solve for x
    x = 78,256,705,536/128,208
  6. Step 6: Final answer
    x = 610,388.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.