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Finding the Third Proportional to 138,667 and 304,384

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Solution

The third proportional to 138,667 and 304,384 is: 668,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,667 : 304,384 = 304,384 : x
  2. Step 2: Convert to fraction form
    138,667/304,384 = 304,384/x
  3. Step 3: Cross multiply
    138,667x = 304,384 × 304,384
  4. Step 4: Simplify right side
    138,667x = 92,649,619,456
  5. Step 5: Solve for x
    x = 92,649,619,456/138,667
  6. Step 6: Final answer
    x = 668,144.69

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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.