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Finding the Third Proportional to 128,844 and 197,109

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Solution

The third proportional to 128,844 and 197,109 is: 301,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,844 : 197,109 = 197,109 : x
  2. Step 2: Convert to fraction form
    128,844/197,109 = 197,109/x
  3. Step 3: Cross multiply
    128,844x = 197,109 × 197,109
  4. Step 4: Simplify right side
    128,844x = 38,851,957,881
  5. Step 5: Solve for x
    x = 38,851,957,881/128,844
  6. Step 6: Final answer
    x = 301,542.62

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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.