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Finding the Third Proportional to 132,839 and 286,667

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Solution

The third proportional to 132,839 and 286,667 is: 618,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,839 : 286,667 = 286,667 : x
  2. Step 2: Convert to fraction form
    132,839/286,667 = 286,667/x
  3. Step 3: Cross multiply
    132,839x = 286,667 × 286,667
  4. Step 4: Simplify right side
    132,839x = 82,177,968,889
  5. Step 5: Solve for x
    x = 82,177,968,889/132,839
  6. Step 6: Final answer
    x = 618,628.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.