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Finding the Third Proportional to 129,809.25 and 196,441.88

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Solution

The third proportional to 129,809.25 and 196,441.88 is: 297,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809.25 : 196,441.88 = 196,441.88 : x
  2. Step 2: Convert to fraction form
    129,809.25/196,441.88 = 196,441.88/x
  3. Step 3: Cross multiply
    129,809.25x = 196,441.88 × 196,441.88
  4. Step 4: Simplify right side
    129,809.25x = 38,589,410,253.52
  5. Step 5: Solve for x
    x = 38,589,410,253.52/129,809.25
  6. Step 6: Final answer
    x = 297,277.82

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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.