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Finding the Third Proportional to 83,667 and 122,709

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Solution

The third proportional to 83,667 and 122,709 is: 179,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,667 : 122,709 = 122,709 : x
  2. Step 2: Convert to fraction form
    83,667/122,709 = 122,709/x
  3. Step 3: Cross multiply
    83,667x = 122,709 × 122,709
  4. Step 4: Simplify right side
    83,667x = 15,057,498,681
  5. Step 5: Solve for x
    x = 15,057,498,681/83,667
  6. Step 6: Final answer
    x = 179,969.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.