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Finding the Third Proportional to 128,859 and 196,620

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Solution

The third proportional to 128,859 and 196,620 is: 300,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,859 : 196,620 = 196,620 : x
  2. Step 2: Convert to fraction form
    128,859/196,620 = 196,620/x
  3. Step 3: Cross multiply
    128,859x = 196,620 × 196,620
  4. Step 4: Simplify right side
    128,859x = 38,659,424,400
  5. Step 5: Solve for x
    x = 38,659,424,400/128,859
  6. Step 6: Final answer
    x = 300,013.38

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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.