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Finding the Third Proportional to 128,781 and 196,999

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Solution

The third proportional to 128,781 and 196,999 is: 301,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,781 : 196,999 = 196,999 : x
  2. Step 2: Convert to fraction form
    128,781/196,999 = 196,999/x
  3. Step 3: Cross multiply
    128,781x = 196,999 × 196,999
  4. Step 4: Simplify right side
    128,781x = 38,808,606,001
  5. Step 5: Solve for x
    x = 38,808,606,001/128,781
  6. Step 6: Final answer
    x = 301,353.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.