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Finding the Third Proportional to 121,906 and 161,756

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Solution

The third proportional to 121,906 and 161,756 is: 214,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,906 : 161,756 = 161,756 : x
  2. Step 2: Convert to fraction form
    121,906/161,756 = 161,756/x
  3. Step 3: Cross multiply
    121,906x = 161,756 × 161,756
  4. Step 4: Simplify right side
    121,906x = 26,165,003,536
  5. Step 5: Solve for x
    x = 26,165,003,536/121,906
  6. Step 6: Final answer
    x = 214,632.61

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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.