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Finding the Third Proportional to 121,992 and 190,108

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Solution

The third proportional to 121,992 and 190,108 is: 296,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,992 : 190,108 = 190,108 : x
  2. Step 2: Convert to fraction form
    121,992/190,108 = 190,108/x
  3. Step 3: Cross multiply
    121,992x = 190,108 × 190,108
  4. Step 4: Simplify right side
    121,992x = 36,141,051,664
  5. Step 5: Solve for x
    x = 36,141,051,664/121,992
  6. Step 6: Final answer
    x = 296,257.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.