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Finding the Third Proportional to 121,912 and 189,996

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Solution

The third proportional to 121,912 and 189,996 is: 296,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,912 : 189,996 = 189,996 : x
  2. Step 2: Convert to fraction form
    121,912/189,996 = 189,996/x
  3. Step 3: Cross multiply
    121,912x = 189,996 × 189,996
  4. Step 4: Simplify right side
    121,912x = 36,098,480,016
  5. Step 5: Solve for x
    x = 36,098,480,016/121,912
  6. Step 6: Final answer
    x = 296,102.76

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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.