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Finding the Third Proportional to 128,601 and 278,667

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Solution

The third proportional to 128,601 and 278,667 is: 603,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,601 : 278,667 = 278,667 : x
  2. Step 2: Convert to fraction form
    128,601/278,667 = 278,667/x
  3. Step 3: Cross multiply
    128,601x = 278,667 × 278,667
  4. Step 4: Simplify right side
    128,601x = 77,655,296,889
  5. Step 5: Solve for x
    x = 77,655,296,889/128,601
  6. Step 6: Final answer
    x = 603,846.76

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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.