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Finding the Third Proportional to 123,186 and 171,629

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Solution

The third proportional to 123,186 and 171,629 is: 239,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,186 : 171,629 = 171,629 : x
  2. Step 2: Convert to fraction form
    123,186/171,629 = 171,629/x
  3. Step 3: Cross multiply
    123,186x = 171,629 × 171,629
  4. Step 4: Simplify right side
    123,186x = 29,456,513,641
  5. Step 5: Solve for x
    x = 29,456,513,641/123,186
  6. Step 6: Final answer
    x = 239,122.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.