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Finding the Third Proportional to 121,902 and 161,796

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Solution

The third proportional to 121,902 and 161,796 is: 214,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,902 : 161,796 = 161,796 : x
  2. Step 2: Convert to fraction form
    121,902/161,796 = 161,796/x
  3. Step 3: Cross multiply
    121,902x = 161,796 × 161,796
  4. Step 4: Simplify right side
    121,902x = 26,177,945,616
  5. Step 5: Solve for x
    x = 26,177,945,616/121,902
  6. Step 6: Final answer
    x = 214,745.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.