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Finding the Third Proportional to 129,844 and 195,620

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Solution

The third proportional to 129,844 and 195,620 is: 294,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,844 : 195,620 = 195,620 : x
  2. Step 2: Convert to fraction form
    129,844/195,620 = 195,620/x
  3. Step 3: Cross multiply
    129,844x = 195,620 × 195,620
  4. Step 4: Simplify right side
    129,844x = 38,267,184,400
  5. Step 5: Solve for x
    x = 38,267,184,400/129,844
  6. Step 6: Final answer
    x = 294,716.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.